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Finding the Fourth Proportional to 1,591.40, 2,184.97 and 1,294.40

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Solution

The fourth proportional to 1,591.40, 2,184.97 and 1,294.40 is: 1,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.40 : 2,184.97 = 1,294.40 : x
  2. Step 2: Convert to fraction form
    1,591.40/2,184.97 = 1,294.40/x
  3. Step 3: Cross multiply
    1,591.40x = 2,184.97 × 1,294.40
  4. Step 4: Simplify right side
    1,591.40x = 2,828,225.17
  5. Step 5: Solve for x
    x = 2,828,225.17/1,591.40
  6. Step 6: Final answer
    x = 1,777.19

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.