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Finding the Fourth Proportional to 2,597.95, 3,897.17 and 1,037.58

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Solution

The fourth proportional to 2,597.95, 3,897.17 and 1,037.58 is: 1,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.95 : 3,897.17 = 1,037.58 : x
  2. Step 2: Convert to fraction form
    2,597.95/3,897.17 = 1,037.58/x
  3. Step 3: Cross multiply
    2,597.95x = 3,897.17 × 1,037.58
  4. Step 4: Simplify right side
    2,597.95x = 4,043,628.24
  5. Step 5: Solve for x
    x = 4,043,628.24/2,597.95
  6. Step 6: Final answer
    x = 1,556.47

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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.