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Finding the Fourth Proportional to 2,600.30, 3,587 and 1,552.16

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Solution

The fourth proportional to 2,600.30, 3,587 and 1,552.16 is: 2,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.30 : 3,587 = 1,552.16 : x
  2. Step 2: Convert to fraction form
    2,600.30/3,587 = 1,552.16/x
  3. Step 3: Cross multiply
    2,600.30x = 3,587 × 1,552.16
  4. Step 4: Simplify right side
    2,600.30x = 5,567,597.92
  5. Step 5: Solve for x
    x = 5,567,597.92/2,600.30
  6. Step 6: Final answer
    x = 2,141.14

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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.