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Finding the Fourth Proportional to 4,118.78, 6,180.78 and 1,521.50

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Solution

The fourth proportional to 4,118.78, 6,180.78 and 1,521.50 is: 2,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.78 : 6,180.78 = 1,521.50 : x
  2. Step 2: Convert to fraction form
    4,118.78/6,180.78 = 1,521.50/x
  3. Step 3: Cross multiply
    4,118.78x = 6,180.78 × 1,521.50
  4. Step 4: Simplify right side
    4,118.78x = 9,404,056.77
  5. Step 5: Solve for x
    x = 9,404,056.77/4,118.78
  6. Step 6: Final answer
    x = 2,283.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.