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Finding the Fourth Proportional to 2,259.57, 3,388.04 and 699.15

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Solution

The fourth proportional to 2,259.57, 3,388.04 and 699.15 is: 1,048.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.57 : 3,388.04 = 699.15 : x
  2. Step 2: Convert to fraction form
    2,259.57/3,388.04 = 699.15/x
  3. Step 3: Cross multiply
    2,259.57x = 3,388.04 × 699.15
  4. Step 4: Simplify right side
    2,259.57x = 2,368,748.17
  5. Step 5: Solve for x
    x = 2,368,748.17/2,259.57
  6. Step 6: Final answer
    x = 1,048.32

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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.