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Finding the Fourth Proportional to 2,197.86, 3,032.90 and 1,253.69

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Solution

The fourth proportional to 2,197.86, 3,032.90 and 1,253.69 is: 1,730.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.86 : 3,032.90 = 1,253.69 : x
  2. Step 2: Convert to fraction form
    2,197.86/3,032.90 = 1,253.69/x
  3. Step 3: Cross multiply
    2,197.86x = 3,032.90 × 1,253.69
  4. Step 4: Simplify right side
    2,197.86x = 3,802,317.71
  5. Step 5: Solve for x
    x = 3,802,317.71/2,197.86
  6. Step 6: Final answer
    x = 1,730.01

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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.