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Finding the Fourth Proportional to 1,663.17, 2,295.53 and 955.12

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Solution

The fourth proportional to 1,663.17, 2,295.53 and 955.12 is: 1,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.17 : 2,295.53 = 955.12 : x
  2. Step 2: Convert to fraction form
    1,663.17/2,295.53 = 955.12/x
  3. Step 3: Cross multiply
    1,663.17x = 2,295.53 × 955.12
  4. Step 4: Simplify right side
    1,663.17x = 2,192,506.61
  5. Step 5: Solve for x
    x = 2,192,506.61/1,663.17
  6. Step 6: Final answer
    x = 1,318.27

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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.