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Finding the Fourth Proportional to 2,065.52, 2,847.48 and 1,642.16

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Solution

The fourth proportional to 2,065.52, 2,847.48 and 1,642.16 is: 2,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.52 : 2,847.48 = 1,642.16 : x
  2. Step 2: Convert to fraction form
    2,065.52/2,847.48 = 1,642.16/x
  3. Step 3: Cross multiply
    2,065.52x = 2,847.48 × 1,642.16
  4. Step 4: Simplify right side
    2,065.52x = 4,676,017.76
  5. Step 5: Solve for x
    x = 4,676,017.76/2,065.52
  6. Step 6: Final answer
    x = 2,263.85

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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.