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Finding the Fourth Proportional to 1,646.77, 2,468.85 and 1,125.49

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Solution

The fourth proportional to 1,646.77, 2,468.85 and 1,125.49 is: 1,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.77 : 2,468.85 = 1,125.49 : x
  2. Step 2: Convert to fraction form
    1,646.77/2,468.85 = 1,125.49/x
  3. Step 3: Cross multiply
    1,646.77x = 2,468.85 × 1,125.49
  4. Step 4: Simplify right side
    1,646.77x = 2,778,665.99
  5. Step 5: Solve for x
    x = 2,778,665.99/1,646.77
  6. Step 6: Final answer
    x = 1,687.34

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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.