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Finding the Fourth Proportional to 1,844.87, 2,545.98 and 1,005.64

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Solution

The fourth proportional to 1,844.87, 2,545.98 and 1,005.64 is: 1,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.87 : 2,545.98 = 1,005.64 : x
  2. Step 2: Convert to fraction form
    1,844.87/2,545.98 = 1,005.64/x
  3. Step 3: Cross multiply
    1,844.87x = 2,545.98 × 1,005.64
  4. Step 4: Simplify right side
    1,844.87x = 2,560,330.45
  5. Step 5: Solve for x
    x = 2,560,330.45/1,844.87
  6. Step 6: Final answer
    x = 1,387.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.