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Finding the Fourth Proportional to 2,374.34, 3,559.16 and 2,044.13

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Solution

The fourth proportional to 2,374.34, 3,559.16 and 2,044.13 is: 3,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.34 : 3,559.16 = 2,044.13 : x
  2. Step 2: Convert to fraction form
    2,374.34/3,559.16 = 2,044.13/x
  3. Step 3: Cross multiply
    2,374.34x = 3,559.16 × 2,044.13
  4. Step 4: Simplify right side
    2,374.34x = 7,275,357.71
  5. Step 5: Solve for x
    x = 7,275,357.71/2,374.34
  6. Step 6: Final answer
    x = 3,064.17

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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.