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Finding the Fourth Proportional to 2,337.09, 3,504.61 and 875.22

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Solution

The fourth proportional to 2,337.09, 3,504.61 and 875.22 is: 1,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.09 : 3,504.61 = 875.22 : x
  2. Step 2: Convert to fraction form
    2,337.09/3,504.61 = 875.22/x
  3. Step 3: Cross multiply
    2,337.09x = 3,504.61 × 875.22
  4. Step 4: Simplify right side
    2,337.09x = 3,067,298.88
  5. Step 5: Solve for x
    x = 3,067,298.88/2,337.09
  6. Step 6: Final answer
    x = 1,312.44

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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.