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Finding the Fourth Proportional to 1,746.42, 2,409.10 and 1,352.76

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Solution

The fourth proportional to 1,746.42, 2,409.10 and 1,352.76 is: 1,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.42 : 2,409.10 = 1,352.76 : x
  2. Step 2: Convert to fraction form
    1,746.42/2,409.10 = 1,352.76/x
  3. Step 3: Cross multiply
    1,746.42x = 2,409.10 × 1,352.76
  4. Step 4: Simplify right side
    1,746.42x = 3,258,934.12
  5. Step 5: Solve for x
    x = 3,258,934.12/1,746.42
  6. Step 6: Final answer
    x = 1,866.07

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.