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Finding the Fourth Proportional to 1,497.42, 2,246.13 and 631.18

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Solution

The fourth proportional to 1,497.42, 2,246.13 and 631.18 is: 946.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.42 : 2,246.13 = 631.18 : x
  2. Step 2: Convert to fraction form
    1,497.42/2,246.13 = 631.18/x
  3. Step 3: Cross multiply
    1,497.42x = 2,246.13 × 631.18
  4. Step 4: Simplify right side
    1,497.42x = 1,417,712.33
  5. Step 5: Solve for x
    x = 1,417,712.33/1,497.42
  6. Step 6: Final answer
    x = 946.77

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