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Finding the Fourth Proportional to 1,522.08, 2,099.34 and 924.57

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Solution

The fourth proportional to 1,522.08, 2,099.34 and 924.57 is: 1,275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.08 : 2,099.34 = 924.57 : x
  2. Step 2: Convert to fraction form
    1,522.08/2,099.34 = 924.57/x
  3. Step 3: Cross multiply
    1,522.08x = 2,099.34 × 924.57
  4. Step 4: Simplify right side
    1,522.08x = 1,940,986.78
  5. Step 5: Solve for x
    x = 1,940,986.78/1,522.08
  6. Step 6: Final answer
    x = 1,275.22

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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.