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Finding the Fourth Proportional to 2,864.50, 4,298.67 and 1,040.50

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Solution

The fourth proportional to 2,864.50, 4,298.67 and 1,040.50 is: 1,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.50 : 4,298.67 = 1,040.50 : x
  2. Step 2: Convert to fraction form
    2,864.50/4,298.67 = 1,040.50/x
  3. Step 3: Cross multiply
    2,864.50x = 4,298.67 × 1,040.50
  4. Step 4: Simplify right side
    2,864.50x = 4,472,766.14
  5. Step 5: Solve for x
    x = 4,472,766.14/2,864.50
  6. Step 6: Final answer
    x = 1,561.45

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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.