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Finding the Fourth Proportional to 1,427.79, 1,969.76 and 868.17

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Solution

The fourth proportional to 1,427.79, 1,969.76 and 868.17 is: 1,197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.79 : 1,969.76 = 868.17 : x
  2. Step 2: Convert to fraction form
    1,427.79/1,969.76 = 868.17/x
  3. Step 3: Cross multiply
    1,427.79x = 1,969.76 × 868.17
  4. Step 4: Simplify right side
    1,427.79x = 1,710,096.10
  5. Step 5: Solve for x
    x = 1,710,096.10/1,427.79
  6. Step 6: Final answer
    x = 1,197.72

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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.