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Finding the Fourth Proportional to 2,123.52, 3,186.60 and 969.24

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Solution

The fourth proportional to 2,123.52, 3,186.60 and 969.24 is: 1,454.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.52 : 3,186.60 = 969.24 : x
  2. Step 2: Convert to fraction form
    2,123.52/3,186.60 = 969.24/x
  3. Step 3: Cross multiply
    2,123.52x = 3,186.60 × 969.24
  4. Step 4: Simplify right side
    2,123.52x = 3,088,580.18
  5. Step 5: Solve for x
    x = 3,088,580.18/2,123.52
  6. Step 6: Final answer
    x = 1,454.46

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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.