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Finding the Fourth Proportional to 3,092.16, 4,638.18 and 752.18

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Solution

The fourth proportional to 3,092.16, 4,638.18 and 752.18 is: 1,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.16 : 4,638.18 = 752.18 : x
  2. Step 2: Convert to fraction form
    3,092.16/4,638.18 = 752.18/x
  3. Step 3: Cross multiply
    3,092.16x = 4,638.18 × 752.18
  4. Step 4: Simplify right side
    3,092.16x = 3,488,746.23
  5. Step 5: Solve for x
    x = 3,488,746.23/3,092.16
  6. Step 6: Final answer
    x = 1,128.26

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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.