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Finding the Fourth Proportional to 2,598.97, 3,897.66 and 1,365.70

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Solution

The fourth proportional to 2,598.97, 3,897.66 and 1,365.70 is: 2,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.97 : 3,897.66 = 1,365.70 : x
  2. Step 2: Convert to fraction form
    2,598.97/3,897.66 = 1,365.70/x
  3. Step 3: Cross multiply
    2,598.97x = 3,897.66 × 1,365.70
  4. Step 4: Simplify right side
    2,598.97x = 5,323,034.26
  5. Step 5: Solve for x
    x = 5,323,034.26/2,598.97
  6. Step 6: Final answer
    x = 2,048.13

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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.