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Finding the Fourth Proportional to 2,855.92, 4,283.88 and 1,124.50

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Solution

The fourth proportional to 2,855.92, 4,283.88 and 1,124.50 is: 1,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.92 : 4,283.88 = 1,124.50 : x
  2. Step 2: Convert to fraction form
    2,855.92/4,283.88 = 1,124.50/x
  3. Step 3: Cross multiply
    2,855.92x = 4,283.88 × 1,124.50
  4. Step 4: Simplify right side
    2,855.92x = 4,817,223.06
  5. Step 5: Solve for x
    x = 4,817,223.06/2,855.92
  6. Step 6: Final answer
    x = 1,686.75

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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.