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Finding the Fourth Proportional to 1,592.61, 2,199.18 and 1,223.25

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Solution

The fourth proportional to 1,592.61, 2,199.18 and 1,223.25 is: 1,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.61 : 2,199.18 = 1,223.25 : x
  2. Step 2: Convert to fraction form
    1,592.61/2,199.18 = 1,223.25/x
  3. Step 3: Cross multiply
    1,592.61x = 2,199.18 × 1,223.25
  4. Step 4: Simplify right side
    1,592.61x = 2,690,146.94
  5. Step 5: Solve for x
    x = 2,690,146.94/1,592.61
  6. Step 6: Final answer
    x = 1,689.14

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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.