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Finding the Fourth Proportional to 2,119.20, 2,921.04 and 1,652.64

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Solution

The fourth proportional to 2,119.20, 2,921.04 and 1,652.64 is: 2,277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.20 : 2,921.04 = 1,652.64 : x
  2. Step 2: Convert to fraction form
    2,119.20/2,921.04 = 1,652.64/x
  3. Step 3: Cross multiply
    2,119.20x = 2,921.04 × 1,652.64
  4. Step 4: Simplify right side
    2,119.20x = 4,827,427.55
  5. Step 5: Solve for x
    x = 4,827,427.55/2,119.20
  6. Step 6: Final answer
    x = 2,277.95

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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.