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Finding the Fourth Proportional to 1,785.49, 2,463.78 and 999.52

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Solution

The fourth proportional to 1,785.49, 2,463.78 and 999.52 is: 1,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.49 : 2,463.78 = 999.52 : x
  2. Step 2: Convert to fraction form
    1,785.49/2,463.78 = 999.52/x
  3. Step 3: Cross multiply
    1,785.49x = 2,463.78 × 999.52
  4. Step 4: Simplify right side
    1,785.49x = 2,462,597.39
  5. Step 5: Solve for x
    x = 2,462,597.39/1,785.49
  6. Step 6: Final answer
    x = 1,379.23

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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.