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Finding the Fourth Proportional to 2,472.99, 3,412.29 and 1,424.85

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Solution

The fourth proportional to 2,472.99, 3,412.29 and 1,424.85 is: 1,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.99 : 3,412.29 = 1,424.85 : x
  2. Step 2: Convert to fraction form
    2,472.99/3,412.29 = 1,424.85/x
  3. Step 3: Cross multiply
    2,472.99x = 3,412.29 × 1,424.85
  4. Step 4: Simplify right side
    2,472.99x = 4,862,001.41
  5. Step 5: Solve for x
    x = 4,862,001.41/2,472.99
  6. Step 6: Final answer
    x = 1,966.04

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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.