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Finding the Fourth Proportional to 3,437.58, 4,744.68 and 2,260.23

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Solution

The fourth proportional to 3,437.58, 4,744.68 and 2,260.23 is: 3,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.58 : 4,744.68 = 2,260.23 : x
  2. Step 2: Convert to fraction form
    3,437.58/4,744.68 = 2,260.23/x
  3. Step 3: Cross multiply
    3,437.58x = 4,744.68 × 2,260.23
  4. Step 4: Simplify right side
    3,437.58x = 10,724,068.08
  5. Step 5: Solve for x
    x = 10,724,068.08/3,437.58
  6. Step 6: Final answer
    x = 3,119.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.