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Finding the Fourth Proportional to 1,502.14, 2,252.67 and 636.52

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Solution

The fourth proportional to 1,502.14, 2,252.67 and 636.52 is: 954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.14 : 2,252.67 = 636.52 : x
  2. Step 2: Convert to fraction form
    1,502.14/2,252.67 = 636.52/x
  3. Step 3: Cross multiply
    1,502.14x = 2,252.67 × 636.52
  4. Step 4: Simplify right side
    1,502.14x = 1,433,869.51
  5. Step 5: Solve for x
    x = 1,433,869.51/1,502.14
  6. Step 6: Final answer
    x = 954.55

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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.