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Finding the Fourth Proportional to 2,397.25, 3,595.84 and 837.25

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Solution

The fourth proportional to 2,397.25, 3,595.84 and 837.25 is: 1,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.25 : 3,595.84 = 837.25 : x
  2. Step 2: Convert to fraction form
    2,397.25/3,595.84 = 837.25/x
  3. Step 3: Cross multiply
    2,397.25x = 3,595.84 × 837.25
  4. Step 4: Simplify right side
    2,397.25x = 3,010,617.04
  5. Step 5: Solve for x
    x = 3,010,617.04/2,397.25
  6. Step 6: Final answer
    x = 1,255.86

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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.