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Finding the Fourth Proportional to 2,970.62, 4,097.24 and 2,501.02

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Solution

The fourth proportional to 2,970.62, 4,097.24 and 2,501.02 is: 3,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.62 : 4,097.24 = 2,501.02 : x
  2. Step 2: Convert to fraction form
    2,970.62/4,097.24 = 2,501.02/x
  3. Step 3: Cross multiply
    2,970.62x = 4,097.24 × 2,501.02
  4. Step 4: Simplify right side
    2,970.62x = 10,247,279.18
  5. Step 5: Solve for x
    x = 10,247,279.18/2,970.62
  6. Step 6: Final answer
    x = 3,449.54

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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.