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Finding the Fourth Proportional to 2,507.67, 3,460.68 and 1,388.61

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Solution

The fourth proportional to 2,507.67, 3,460.68 and 1,388.61 is: 1,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.67 : 3,460.68 = 1,388.61 : x
  2. Step 2: Convert to fraction form
    2,507.67/3,460.68 = 1,388.61/x
  3. Step 3: Cross multiply
    2,507.67x = 3,460.68 × 1,388.61
  4. Step 4: Simplify right side
    2,507.67x = 4,805,534.85
  5. Step 5: Solve for x
    x = 4,805,534.85/2,507.67
  6. Step 6: Final answer
    x = 1,916.33

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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.