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Finding the Fourth Proportional to 2,666.85, 3,680.23 and 1,471.85

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Solution

The fourth proportional to 2,666.85, 3,680.23 and 1,471.85 is: 2,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.85 : 3,680.23 = 1,471.85 : x
  2. Step 2: Convert to fraction form
    2,666.85/3,680.23 = 1,471.85/x
  3. Step 3: Cross multiply
    2,666.85x = 3,680.23 × 1,471.85
  4. Step 4: Simplify right side
    2,666.85x = 5,416,746.53
  5. Step 5: Solve for x
    x = 5,416,746.53/2,666.85
  6. Step 6: Final answer
    x = 2,031.14

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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.