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Finding the Fourth Proportional to 2,597.03, 3,896.55 and 954.71

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Solution

The fourth proportional to 2,597.03, 3,896.55 and 954.71 is: 1,432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.03 : 3,896.55 = 954.71 : x
  2. Step 2: Convert to fraction form
    2,597.03/3,896.55 = 954.71/x
  3. Step 3: Cross multiply
    2,597.03x = 3,896.55 × 954.71
  4. Step 4: Simplify right side
    2,597.03x = 3,720,075.25
  5. Step 5: Solve for x
    x = 3,720,075.25/2,597.03
  6. Step 6: Final answer
    x = 1,432.43

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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.