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Finding the Fourth Proportional to 2,259.90, 3,390.30 and 800.09

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Solution

The fourth proportional to 2,259.90, 3,390.30 and 800.09 is: 1,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.90 : 3,390.30 = 800.09 : x
  2. Step 2: Convert to fraction form
    2,259.90/3,390.30 = 800.09/x
  3. Step 3: Cross multiply
    2,259.90x = 3,390.30 × 800.09
  4. Step 4: Simplify right side
    2,259.90x = 2,712,528.18
  5. Step 5: Solve for x
    x = 2,712,528.18/2,259.90
  6. Step 6: Final answer
    x = 1,200.29

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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.