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Finding the Fourth Proportional to 2,312.39, 3,467.69 and 752.02

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Solution

The fourth proportional to 2,312.39, 3,467.69 and 752.02 is: 1,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.39 : 3,467.69 = 752.02 : x
  2. Step 2: Convert to fraction form
    2,312.39/3,467.69 = 752.02/x
  3. Step 3: Cross multiply
    2,312.39x = 3,467.69 × 752.02
  4. Step 4: Simplify right side
    2,312.39x = 2,607,762.62
  5. Step 5: Solve for x
    x = 2,607,762.62/2,312.39
  6. Step 6: Final answer
    x = 1,127.73

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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.