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Finding the Fourth Proportional to 2,598.47, 3,896.91 and 1,365.20

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Solution

The fourth proportional to 2,598.47, 3,896.91 and 1,365.20 is: 2,047.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.47 : 3,896.91 = 1,365.20 : x
  2. Step 2: Convert to fraction form
    2,598.47/3,896.91 = 1,365.20/x
  3. Step 3: Cross multiply
    2,598.47x = 3,896.91 × 1,365.20
  4. Step 4: Simplify right side
    2,598.47x = 5,320,061.53
  5. Step 5: Solve for x
    x = 5,320,061.53/2,598.47
  6. Step 6: Final answer
    x = 2,047.39

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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.