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Finding the Fourth Proportional to 1,655.40, 2,281.76 and 1,522.94

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Solution

The fourth proportional to 1,655.40, 2,281.76 and 1,522.94 is: 2,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.40 : 2,281.76 = 1,522.94 : x
  2. Step 2: Convert to fraction form
    1,655.40/2,281.76 = 1,522.94/x
  3. Step 3: Cross multiply
    1,655.40x = 2,281.76 × 1,522.94
  4. Step 4: Simplify right side
    1,655.40x = 3,474,983.57
  5. Step 5: Solve for x
    x = 3,474,983.57/1,655.40
  6. Step 6: Final answer
    x = 2,099.18

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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.