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Finding the Fourth Proportional to 1,522.68, 2,283.84 and 1,133.16

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Solution

The fourth proportional to 1,522.68, 2,283.84 and 1,133.16 is: 1,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.68 : 2,283.84 = 1,133.16 : x
  2. Step 2: Convert to fraction form
    1,522.68/2,283.84 = 1,133.16/x
  3. Step 3: Cross multiply
    1,522.68x = 2,283.84 × 1,133.16
  4. Step 4: Simplify right side
    1,522.68x = 2,587,956.13
  5. Step 5: Solve for x
    x = 2,587,956.13/1,522.68
  6. Step 6: Final answer
    x = 1,699.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.