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Finding the Fourth Proportional to 2,552, 3,521.76 and 1,448

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Solution

The fourth proportional to 2,552, 3,521.76 and 1,448 is: 1,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552 : 3,521.76 = 1,448 : x
  2. Step 2: Convert to fraction form
    2,552/3,521.76 = 1,448/x
  3. Step 3: Cross multiply
    2,552x = 3,521.76 × 1,448
  4. Step 4: Simplify right side
    2,552x = 5,099,508.48
  5. Step 5: Solve for x
    x = 5,099,508.48/2,552
  6. Step 6: Final answer
    x = 1,998.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.