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Finding the Fourth Proportional to 4,176.78, 6,263 and 1,254.70

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Solution

The fourth proportional to 4,176.78, 6,263 and 1,254.70 is: 1,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.78 : 6,263 = 1,254.70 : x
  2. Step 2: Convert to fraction form
    4,176.78/6,263 = 1,254.70/x
  3. Step 3: Cross multiply
    4,176.78x = 6,263 × 1,254.70
  4. Step 4: Simplify right side
    4,176.78x = 7,858,186.10
  5. Step 5: Solve for x
    x = 7,858,186.10/4,176.78
  6. Step 6: Final answer
    x = 1,881.40

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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.