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Finding the Fourth Proportional to 2,972.62, 4,100 and 2,503.02

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Solution

The fourth proportional to 2,972.62, 4,100 and 2,503.02 is: 3,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.62 : 4,100 = 2,503.02 : x
  2. Step 2: Convert to fraction form
    2,972.62/4,100 = 2,503.02/x
  3. Step 3: Cross multiply
    2,972.62x = 4,100 × 2,503.02
  4. Step 4: Simplify right side
    2,972.62x = 10,262,382
  5. Step 5: Solve for x
    x = 10,262,382/2,972.62
  6. Step 6: Final answer
    x = 3,452.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.