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Finding the Fourth Proportional to 2,197.74, 3,034.14 and 1,453.86

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Solution

The fourth proportional to 2,197.74, 3,034.14 and 1,453.86 is: 2,007.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.74 : 3,034.14 = 1,453.86 : x
  2. Step 2: Convert to fraction form
    2,197.74/3,034.14 = 1,453.86/x
  3. Step 3: Cross multiply
    2,197.74x = 3,034.14 × 1,453.86
  4. Step 4: Simplify right side
    2,197.74x = 4,411,214.78
  5. Step 5: Solve for x
    x = 4,411,214.78/2,197.74
  6. Step 6: Final answer
    x = 2,007.16

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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.