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Finding the Fourth Proportional to 3,130.40, 4,697.40 and 1,182.80

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Solution

The fourth proportional to 3,130.40, 4,697.40 and 1,182.80 is: 1,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.40 : 4,697.40 = 1,182.80 : x
  2. Step 2: Convert to fraction form
    3,130.40/4,697.40 = 1,182.80/x
  3. Step 3: Cross multiply
    3,130.40x = 4,697.40 × 1,182.80
  4. Step 4: Simplify right side
    3,130.40x = 5,556,084.72
  5. Step 5: Solve for x
    x = 5,556,084.72/3,130.40
  6. Step 6: Final answer
    x = 1,774.88

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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.