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Finding the Fourth Proportional to 1,363.53, 2,045.35 and 1,292.46

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Solution

The fourth proportional to 1,363.53, 2,045.35 and 1,292.46 is: 1,938.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.53 : 2,045.35 = 1,292.46 : x
  2. Step 2: Convert to fraction form
    1,363.53/2,045.35 = 1,292.46/x
  3. Step 3: Cross multiply
    1,363.53x = 2,045.35 × 1,292.46
  4. Step 4: Simplify right side
    1,363.53x = 2,643,527.01
  5. Step 5: Solve for x
    x = 2,643,527.01/1,363.53
  6. Step 6: Final answer
    x = 1,938.73

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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.