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Finding the Fourth Proportional to 3,134.16, 4,701.18 and 825.64

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Solution

The fourth proportional to 3,134.16, 4,701.18 and 825.64 is: 1,238.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.16 : 4,701.18 = 825.64 : x
  2. Step 2: Convert to fraction form
    3,134.16/4,701.18 = 825.64/x
  3. Step 3: Cross multiply
    3,134.16x = 4,701.18 × 825.64
  4. Step 4: Simplify right side
    3,134.16x = 3,881,482.26
  5. Step 5: Solve for x
    x = 3,881,482.26/3,134.16
  6. Step 6: Final answer
    x = 1,238.44

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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.