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Finding the Fourth Proportional to 2,300.32, 3,443.76 and 2,259.36

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Solution

The fourth proportional to 2,300.32, 3,443.76 and 2,259.36 is: 3,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.32 : 3,443.76 = 2,259.36 : x
  2. Step 2: Convert to fraction form
    2,300.32/3,443.76 = 2,259.36/x
  3. Step 3: Cross multiply
    2,300.32x = 3,443.76 × 2,259.36
  4. Step 4: Simplify right side
    2,300.32x = 7,780,693.59
  5. Step 5: Solve for x
    x = 7,780,693.59/2,300.32
  6. Step 6: Final answer
    x = 3,382.44

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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.