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Finding the Fourth Proportional to 2,197.83, 3,293.10 and 1,545.39

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Solution

The fourth proportional to 2,197.83, 3,293.10 and 1,545.39 is: 2,315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.83 : 3,293.10 = 1,545.39 : x
  2. Step 2: Convert to fraction form
    2,197.83/3,293.10 = 1,545.39/x
  3. Step 3: Cross multiply
    2,197.83x = 3,293.10 × 1,545.39
  4. Step 4: Simplify right side
    2,197.83x = 5,089,123.81
  5. Step 5: Solve for x
    x = 5,089,123.81/2,197.83
  6. Step 6: Final answer
    x = 2,315.52

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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.