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Finding the Fourth Proportional to 2,397.08, 3,595.78 and 837.26

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Solution

The fourth proportional to 2,397.08, 3,595.78 and 837.26 is: 1,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.08 : 3,595.78 = 837.26 : x
  2. Step 2: Convert to fraction form
    2,397.08/3,595.78 = 837.26/x
  3. Step 3: Cross multiply
    2,397.08x = 3,595.78 × 837.26
  4. Step 4: Simplify right side
    2,397.08x = 3,010,602.76
  5. Step 5: Solve for x
    x = 3,010,602.76/2,397.08
  6. Step 6: Final answer
    x = 1,255.95

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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.