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Finding the Fourth Proportional to 2,507.80, 3,460.96 and 1,388.84

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Solution

The fourth proportional to 2,507.80, 3,460.96 and 1,388.84 is: 1,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.80 : 3,460.96 = 1,388.84 : x
  2. Step 2: Convert to fraction form
    2,507.80/3,460.96 = 1,388.84/x
  3. Step 3: Cross multiply
    2,507.80x = 3,460.96 × 1,388.84
  4. Step 4: Simplify right side
    2,507.80x = 4,806,713.83
  5. Step 5: Solve for x
    x = 4,806,713.83/2,507.80
  6. Step 6: Final answer
    x = 1,916.71

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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.