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Finding the Fourth Proportional to 1,697.38, 2,545.93 and 1,205.91

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Solution

The fourth proportional to 1,697.38, 2,545.93 and 1,205.91 is: 1,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.38 : 2,545.93 = 1,205.91 : x
  2. Step 2: Convert to fraction form
    1,697.38/2,545.93 = 1,205.91/x
  3. Step 3: Cross multiply
    1,697.38x = 2,545.93 × 1,205.91
  4. Step 4: Simplify right side
    1,697.38x = 3,070,162.45
  5. Step 5: Solve for x
    x = 3,070,162.45/1,697.38
  6. Step 6: Final answer
    x = 1,808.77

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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.