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Finding the Fourth Proportional to 3,123.51, 4,684.59 and 932.25

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Solution

The fourth proportional to 3,123.51, 4,684.59 and 932.25 is: 1,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.51 : 4,684.59 = 932.25 : x
  2. Step 2: Convert to fraction form
    3,123.51/4,684.59 = 932.25/x
  3. Step 3: Cross multiply
    3,123.51x = 4,684.59 × 932.25
  4. Step 4: Simplify right side
    3,123.51x = 4,367,209.03
  5. Step 5: Solve for x
    x = 4,367,209.03/3,123.51
  6. Step 6: Final answer
    x = 1,398.17

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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.