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Finding the Fourth Proportional to 2,656.52, 3,983.34 and 807.08

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Solution

The fourth proportional to 2,656.52, 3,983.34 and 807.08 is: 1,210.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.52 : 3,983.34 = 807.08 : x
  2. Step 2: Convert to fraction form
    2,656.52/3,983.34 = 807.08/x
  3. Step 3: Cross multiply
    2,656.52x = 3,983.34 × 807.08
  4. Step 4: Simplify right side
    2,656.52x = 3,214,874.05
  5. Step 5: Solve for x
    x = 3,214,874.05/2,656.52
  6. Step 6: Final answer
    x = 1,210.18

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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.