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Finding the Fourth Proportional to 1,663.84, 2,295.66 and 1,042.96

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Solution

The fourth proportional to 1,663.84, 2,295.66 and 1,042.96 is: 1,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.84 : 2,295.66 = 1,042.96 : x
  2. Step 2: Convert to fraction form
    1,663.84/2,295.66 = 1,042.96/x
  3. Step 3: Cross multiply
    1,663.84x = 2,295.66 × 1,042.96
  4. Step 4: Simplify right side
    1,663.84x = 2,394,281.55
  5. Step 5: Solve for x
    x = 2,394,281.55/1,663.84
  6. Step 6: Final answer
    x = 1,439.01

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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.