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Finding the Fourth Proportional to 2,197.64, 3,292.14 and 1,042.04

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Solution

The fourth proportional to 2,197.64, 3,292.14 and 1,042.04 is: 1,561.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.64 : 3,292.14 = 1,042.04 : x
  2. Step 2: Convert to fraction form
    2,197.64/3,292.14 = 1,042.04/x
  3. Step 3: Cross multiply
    2,197.64x = 3,292.14 × 1,042.04
  4. Step 4: Simplify right side
    2,197.64x = 3,430,541.57
  5. Step 5: Solve for x
    x = 3,430,541.57/2,197.64
  6. Step 6: Final answer
    x = 1,561.01

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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.