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Finding the Fourth Proportional to 1,507.70, 2,261.96 and 1,363.11

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Solution

The fourth proportional to 1,507.70, 2,261.96 and 1,363.11 is: 2,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.70 : 2,261.96 = 1,363.11 : x
  2. Step 2: Convert to fraction form
    1,507.70/2,261.96 = 1,363.11/x
  3. Step 3: Cross multiply
    1,507.70x = 2,261.96 × 1,363.11
  4. Step 4: Simplify right side
    1,507.70x = 3,083,293.48
  5. Step 5: Solve for x
    x = 3,083,293.48/1,507.70
  6. Step 6: Final answer
    x = 2,045.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.