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Finding the Fourth Proportional to 2,384.72, 3,578.16 and 924.20

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Solution

The fourth proportional to 2,384.72, 3,578.16 and 924.20 is: 1,386.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.72 : 3,578.16 = 924.20 : x
  2. Step 2: Convert to fraction form
    2,384.72/3,578.16 = 924.20/x
  3. Step 3: Cross multiply
    2,384.72x = 3,578.16 × 924.20
  4. Step 4: Simplify right side
    2,384.72x = 3,306,935.47
  5. Step 5: Solve for x
    x = 3,306,935.47/2,384.72
  6. Step 6: Final answer
    x = 1,386.72

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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.