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Finding the Fourth Proportional to 2,866.68, 4,300.56 and 2,281.68

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Solution

The fourth proportional to 2,866.68, 4,300.56 and 2,281.68 is: 3,422.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.68 : 4,300.56 = 2,281.68 : x
  2. Step 2: Convert to fraction form
    2,866.68/4,300.56 = 2,281.68/x
  3. Step 3: Cross multiply
    2,866.68x = 4,300.56 × 2,281.68
  4. Step 4: Simplify right side
    2,866.68x = 9,812,501.74
  5. Step 5: Solve for x
    x = 9,812,501.74/2,866.68
  6. Step 6: Final answer
    x = 3,422.95

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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.