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Finding the Fourth Proportional to 4,166.42, 6,248.10 and 1,243.74

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Solution

The fourth proportional to 4,166.42, 6,248.10 and 1,243.74 is: 1,865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.42 : 6,248.10 = 1,243.74 : x
  2. Step 2: Convert to fraction form
    4,166.42/6,248.10 = 1,243.74/x
  3. Step 3: Cross multiply
    4,166.42x = 6,248.10 × 1,243.74
  4. Step 4: Simplify right side
    4,166.42x = 7,771,011.89
  5. Step 5: Solve for x
    x = 7,771,011.89/4,166.42
  6. Step 6: Final answer
    x = 1,865.15

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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.