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Finding the Fourth Proportional to 2,384.55, 3,575.97 and 924.21

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Solution

The fourth proportional to 2,384.55, 3,575.97 and 924.21 is: 1,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.55 : 3,575.97 = 924.21 : x
  2. Step 2: Convert to fraction form
    2,384.55/3,575.97 = 924.21/x
  3. Step 3: Cross multiply
    2,384.55x = 3,575.97 × 924.21
  4. Step 4: Simplify right side
    2,384.55x = 3,304,947.23
  5. Step 5: Solve for x
    x = 3,304,947.23/2,384.55
  6. Step 6: Final answer
    x = 1,385.98

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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.