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Finding the Fourth Proportional to 2,374.10, 3,561.71 and 913.30

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Solution

The fourth proportional to 2,374.10, 3,561.71 and 913.30 is: 1,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.10 : 3,561.71 = 913.30 : x
  2. Step 2: Convert to fraction form
    2,374.10/3,561.71 = 913.30/x
  3. Step 3: Cross multiply
    2,374.10x = 3,561.71 × 913.30
  4. Step 4: Simplify right side
    2,374.10x = 3,252,909.74
  5. Step 5: Solve for x
    x = 3,252,909.74/2,374.10
  6. Step 6: Final answer
    x = 1,370.17

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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.