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Finding the Fourth Proportional to 2,925.73, 4,387.65 and 1,464.49

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Solution

The fourth proportional to 2,925.73, 4,387.65 and 1,464.49 is: 2,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.73 : 4,387.65 = 1,464.49 : x
  2. Step 2: Convert to fraction form
    2,925.73/4,387.65 = 1,464.49/x
  3. Step 3: Cross multiply
    2,925.73x = 4,387.65 × 1,464.49
  4. Step 4: Simplify right side
    2,925.73x = 6,425,669.55
  5. Step 5: Solve for x
    x = 6,425,669.55/2,925.73
  6. Step 6: Final answer
    x = 2,196.26

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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.