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Finding the Fourth Proportional to 2,281.26, 3,420.93 and 1,048.32

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Solution

The fourth proportional to 2,281.26, 3,420.93 and 1,048.32 is: 1,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.26 : 3,420.93 = 1,048.32 : x
  2. Step 2: Convert to fraction form
    2,281.26/3,420.93 = 1,048.32/x
  3. Step 3: Cross multiply
    2,281.26x = 3,420.93 × 1,048.32
  4. Step 4: Simplify right side
    2,281.26x = 3,586,229.34
  5. Step 5: Solve for x
    x = 3,586,229.34/2,281.26
  6. Step 6: Final answer
    x = 1,572.04

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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.