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Finding the Fourth Proportional to 1,697.04, 2,545.86 and 875.09

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Solution

The fourth proportional to 1,697.04, 2,545.86 and 875.09 is: 1,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.04 : 2,545.86 = 875.09 : x
  2. Step 2: Convert to fraction form
    1,697.04/2,545.86 = 875.09/x
  3. Step 3: Cross multiply
    1,697.04x = 2,545.86 × 875.09
  4. Step 4: Simplify right side
    1,697.04x = 2,227,843.90
  5. Step 5: Solve for x
    x = 2,227,843.90/1,697.04
  6. Step 6: Final answer
    x = 1,312.78

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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.