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Finding the Fourth Proportional to 4,123.44, 6,184.80 and 1,202.40

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Solution

The fourth proportional to 4,123.44, 6,184.80 and 1,202.40 is: 1,803.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.44 : 6,184.80 = 1,202.40 : x
  2. Step 2: Convert to fraction form
    4,123.44/6,184.80 = 1,202.40/x
  3. Step 3: Cross multiply
    4,123.44x = 6,184.80 × 1,202.40
  4. Step 4: Simplify right side
    4,123.44x = 7,436,603.52
  5. Step 5: Solve for x
    x = 7,436,603.52/4,123.44
  6. Step 6: Final answer
    x = 1,803.50

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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.