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Finding the Fourth Proportional to 1,497.60, 2,246.04 and 631.08

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Solution

The fourth proportional to 1,497.60, 2,246.04 and 631.08 is: 946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.60 : 2,246.04 = 631.08 : x
  2. Step 2: Convert to fraction form
    1,497.60/2,246.04 = 631.08/x
  3. Step 3: Cross multiply
    1,497.60x = 2,246.04 × 631.08
  4. Step 4: Simplify right side
    1,497.60x = 1,417,430.92
  5. Step 5: Solve for x
    x = 1,417,430.92/1,497.60
  6. Step 6: Final answer
    x = 946.47

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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.