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Finding the Fourth Proportional to 2,337.35, 3,505.00 and 875.48

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Solution

The fourth proportional to 2,337.35, 3,505.00 and 875.48 is: 1,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.35 : 3,505.00 = 875.48 : x
  2. Step 2: Convert to fraction form
    2,337.35/3,505.00 = 875.48/x
  3. Step 3: Cross multiply
    2,337.35x = 3,505.00 × 875.48
  4. Step 4: Simplify right side
    2,337.35x = 3,068,550.83
  5. Step 5: Solve for x
    x = 3,068,550.83/2,337.35
  6. Step 6: Final answer
    x = 1,312.83

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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.