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Finding the Fourth Proportional to 4,159.50, 6,240.28 and 1,237.80

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Solution

The fourth proportional to 4,159.50, 6,240.28 and 1,237.80 is: 1,857.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.50 : 6,240.28 = 1,237.80 : x
  2. Step 2: Convert to fraction form
    4,159.50/6,240.28 = 1,237.80/x
  3. Step 3: Cross multiply
    4,159.50x = 6,240.28 × 1,237.80
  4. Step 4: Simplify right side
    4,159.50x = 7,724,218.58
  5. Step 5: Solve for x
    x = 7,724,218.58/4,159.50
  6. Step 6: Final answer
    x = 1,857.01

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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.