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Finding the Fourth Proportional to 2,597.91, 3,897.63 and 1,544.70

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Solution

The fourth proportional to 2,597.91, 3,897.63 and 1,544.70 is: 2,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.91 : 3,897.63 = 1,544.70 : x
  2. Step 2: Convert to fraction form
    2,597.91/3,897.63 = 1,544.70/x
  3. Step 3: Cross multiply
    2,597.91x = 3,897.63 × 1,544.70
  4. Step 4: Simplify right side
    2,597.91x = 6,020,669.06
  5. Step 5: Solve for x
    x = 6,020,669.06/2,597.91
  6. Step 6: Final answer
    x = 2,317.50

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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.