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Finding the Fourth Proportional to 1,317.74, 1,817.34 and 947.17

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Solution

The fourth proportional to 1,317.74, 1,817.34 and 947.17 is: 1,306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.74 : 1,817.34 = 947.17 : x
  2. Step 2: Convert to fraction form
    1,317.74/1,817.34 = 947.17/x
  3. Step 3: Cross multiply
    1,317.74x = 1,817.34 × 947.17
  4. Step 4: Simplify right side
    1,317.74x = 1,721,323.54
  5. Step 5: Solve for x
    x = 1,721,323.54/1,317.74
  6. Step 6: Final answer
    x = 1,306.27

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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.