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Finding the Fourth Proportional to 4,176.80, 6,266.17 and 1,215.31

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Solution

The fourth proportional to 4,176.80, 6,266.17 and 1,215.31 is: 1,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.80 : 6,266.17 = 1,215.31 : x
  2. Step 2: Convert to fraction form
    4,176.80/6,266.17 = 1,215.31/x
  3. Step 3: Cross multiply
    4,176.80x = 6,266.17 × 1,215.31
  4. Step 4: Simplify right side
    4,176.80x = 7,615,332.99
  5. Step 5: Solve for x
    x = 7,615,332.99/4,176.80
  6. Step 6: Final answer
    x = 1,823.25

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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.