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Finding the Fourth Proportional to 3,140.40, 4,710.60 and 832.08

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Solution

The fourth proportional to 3,140.40, 4,710.60 and 832.08 is: 1,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.40 : 4,710.60 = 832.08 : x
  2. Step 2: Convert to fraction form
    3,140.40/4,710.60 = 832.08/x
  3. Step 3: Cross multiply
    3,140.40x = 4,710.60 × 832.08
  4. Step 4: Simplify right side
    3,140.40x = 3,919,596.05
  5. Step 5: Solve for x
    x = 3,919,596.05/3,140.40
  6. Step 6: Final answer
    x = 1,248.12

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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.