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Finding the Fourth Proportional to 2,746.75, 4,120.29 and 898.06

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Solution

The fourth proportional to 2,746.75, 4,120.29 and 898.06 is: 1,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.75 : 4,120.29 = 898.06 : x
  2. Step 2: Convert to fraction form
    2,746.75/4,120.29 = 898.06/x
  3. Step 3: Cross multiply
    2,746.75x = 4,120.29 × 898.06
  4. Step 4: Simplify right side
    2,746.75x = 3,700,257.34
  5. Step 5: Solve for x
    x = 3,700,257.34/2,746.75
  6. Step 6: Final answer
    x = 1,347.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.