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Finding the Fourth Proportional to 1,646.85, 2,467.53 and 1,158.87

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Solution

The fourth proportional to 1,646.85, 2,467.53 and 1,158.87 is: 1,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.85 : 2,467.53 = 1,158.87 : x
  2. Step 2: Convert to fraction form
    1,646.85/2,467.53 = 1,158.87/x
  3. Step 3: Cross multiply
    1,646.85x = 2,467.53 × 1,158.87
  4. Step 4: Simplify right side
    1,646.85x = 2,859,545.23
  5. Step 5: Solve for x
    x = 2,859,545.23/1,646.85
  6. Step 6: Final answer
    x = 1,736.38

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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.