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Finding the Fourth Proportional to 2,337.85, 3,506.78 and 1,039.02

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Solution

The fourth proportional to 2,337.85, 3,506.78 and 1,039.02 is: 1,558.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.85 : 3,506.78 = 1,039.02 : x
  2. Step 2: Convert to fraction form
    2,337.85/3,506.78 = 1,039.02/x
  3. Step 3: Cross multiply
    2,337.85x = 3,506.78 × 1,039.02
  4. Step 4: Simplify right side
    2,337.85x = 3,643,614.56
  5. Step 5: Solve for x
    x = 3,643,614.56/2,337.85
  6. Step 6: Final answer
    x = 1,558.53

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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.