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Finding the Fourth Proportional to 2,151.23, 3,224.12 and 917.40

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Solution

The fourth proportional to 2,151.23, 3,224.12 and 917.40 is: 1,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.23 : 3,224.12 = 917.40 : x
  2. Step 2: Convert to fraction form
    2,151.23/3,224.12 = 917.40/x
  3. Step 3: Cross multiply
    2,151.23x = 3,224.12 × 917.40
  4. Step 4: Simplify right side
    2,151.23x = 2,957,807.41
  5. Step 5: Solve for x
    x = 2,957,807.41/2,151.23
  6. Step 6: Final answer
    x = 1,374.94

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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.