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Finding the Fourth Proportional to 2,652.28, 3,658.62 and 2,155.48

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Solution

The fourth proportional to 2,652.28, 3,658.62 and 2,155.48 is: 2,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.28 : 3,658.62 = 2,155.48 : x
  2. Step 2: Convert to fraction form
    2,652.28/3,658.62 = 2,155.48/x
  3. Step 3: Cross multiply
    2,652.28x = 3,658.62 × 2,155.48
  4. Step 4: Simplify right side
    2,652.28x = 7,886,082.24
  5. Step 5: Solve for x
    x = 7,886,082.24/2,652.28
  6. Step 6: Final answer
    x = 2,973.32

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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.