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Finding the Fourth Proportional to 2,600.14, 3,587.61 and 1,552

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Solution

The fourth proportional to 2,600.14, 3,587.61 and 1,552 is: 2,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.14 : 3,587.61 = 1,552 : x
  2. Step 2: Convert to fraction form
    2,600.14/3,587.61 = 1,552/x
  3. Step 3: Cross multiply
    2,600.14x = 3,587.61 × 1,552
  4. Step 4: Simplify right side
    2,600.14x = 5,567,970.72
  5. Step 5: Solve for x
    x = 5,567,970.72/2,600.14
  6. Step 6: Final answer
    x = 2,141.41

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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.