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Finding the Fourth Proportional to 1,627.04, 2,244.76 and 928.24

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Solution

The fourth proportional to 1,627.04, 2,244.76 and 928.24 is: 1,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.04 : 2,244.76 = 928.24 : x
  2. Step 2: Convert to fraction form
    1,627.04/2,244.76 = 928.24/x
  3. Step 3: Cross multiply
    1,627.04x = 2,244.76 × 928.24
  4. Step 4: Simplify right side
    1,627.04x = 2,083,676.02
  5. Step 5: Solve for x
    x = 2,083,676.02/1,627.04
  6. Step 6: Final answer
    x = 1,280.65

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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.