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Finding the Fourth Proportional to 2,746.85, 4,119.51 and 898.08

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Solution

The fourth proportional to 2,746.85, 4,119.51 and 898.08 is: 1,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.85 : 4,119.51 = 898.08 : x
  2. Step 2: Convert to fraction form
    2,746.85/4,119.51 = 898.08/x
  3. Step 3: Cross multiply
    2,746.85x = 4,119.51 × 898.08
  4. Step 4: Simplify right side
    2,746.85x = 3,699,649.54
  5. Step 5: Solve for x
    x = 3,699,649.54/2,746.85
  6. Step 6: Final answer
    x = 1,346.87

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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.