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Finding the Fourth Proportional to 2,259.08, 3,387.90 and 699.02

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Solution

The fourth proportional to 2,259.08, 3,387.90 and 699.02 is: 1,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.08 : 3,387.90 = 699.02 : x
  2. Step 2: Convert to fraction form
    2,259.08/3,387.90 = 699.02/x
  3. Step 3: Cross multiply
    2,259.08x = 3,387.90 × 699.02
  4. Step 4: Simplify right side
    2,259.08x = 2,368,209.86
  5. Step 5: Solve for x
    x = 2,368,209.86/2,259.08
  6. Step 6: Final answer
    x = 1,048.31

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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.