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Finding the Fourth Proportional to 2,507.40, 3,460.92 and 1,512.50

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Solution

The fourth proportional to 2,507.40, 3,460.92 and 1,512.50 is: 2,087.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.40 : 3,460.92 = 1,512.50 : x
  2. Step 2: Convert to fraction form
    2,507.40/3,460.92 = 1,512.50/x
  3. Step 3: Cross multiply
    2,507.40x = 3,460.92 × 1,512.50
  4. Step 4: Simplify right side
    2,507.40x = 5,234,641.50
  5. Step 5: Solve for x
    x = 5,234,641.50/2,507.40
  6. Step 6: Final answer
    x = 2,087.68

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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.