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Finding the Fourth Proportional to 2,472.95, 3,412.98 and 1,425.02

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Solution

The fourth proportional to 2,472.95, 3,412.98 and 1,425.02 is: 1,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.95 : 3,412.98 = 1,425.02 : x
  2. Step 2: Convert to fraction form
    2,472.95/3,412.98 = 1,425.02/x
  3. Step 3: Cross multiply
    2,472.95x = 3,412.98 × 1,425.02
  4. Step 4: Simplify right side
    2,472.95x = 4,863,547.69
  5. Step 5: Solve for x
    x = 4,863,547.69/2,472.95
  6. Step 6: Final answer
    x = 1,966.70

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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.