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Finding the Fourth Proportional to 2,374.49, 3,561.90 and 913.64

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Solution

The fourth proportional to 2,374.49, 3,561.90 and 913.64 is: 1,370.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.49 : 3,561.90 = 913.64 : x
  2. Step 2: Convert to fraction form
    2,374.49/3,561.90 = 913.64/x
  3. Step 3: Cross multiply
    2,374.49x = 3,561.90 × 913.64
  4. Step 4: Simplify right side
    2,374.49x = 3,254,294.32
  5. Step 5: Solve for x
    x = 3,254,294.32/2,374.49
  6. Step 6: Final answer
    x = 1,370.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.