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Finding the Fourth Proportional to 2,652.16, 3,659.52 and 1,657.12

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Solution

The fourth proportional to 2,652.16, 3,659.52 and 1,657.12 is: 2,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.16 : 3,659.52 = 1,657.12 : x
  2. Step 2: Convert to fraction form
    2,652.16/3,659.52 = 1,657.12/x
  3. Step 3: Cross multiply
    2,652.16x = 3,659.52 × 1,657.12
  4. Step 4: Simplify right side
    2,652.16x = 6,064,263.78
  5. Step 5: Solve for x
    x = 6,064,263.78/2,652.16
  6. Step 6: Final answer
    x = 2,286.54

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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.