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Finding the Fourth Proportional to 3,042.97, 4,564.28 and 1,873.19

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Solution

The fourth proportional to 3,042.97, 4,564.28 and 1,873.19 is: 2,809.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.97 : 4,564.28 = 1,873.19 : x
  2. Step 2: Convert to fraction form
    3,042.97/4,564.28 = 1,873.19/x
  3. Step 3: Cross multiply
    3,042.97x = 4,564.28 × 1,873.19
  4. Step 4: Simplify right side
    3,042.97x = 8,549,779.75
  5. Step 5: Solve for x
    x = 8,549,779.75/3,042.97
  6. Step 6: Final answer
    x = 2,809.68

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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.