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Finding the Fourth Proportional to 2,865.76, 4,298.02 and 1,016.94

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Solution

The fourth proportional to 2,865.76, 4,298.02 and 1,016.94 is: 1,525.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.76 : 4,298.02 = 1,016.94 : x
  2. Step 2: Convert to fraction form
    2,865.76/4,298.02 = 1,016.94/x
  3. Step 3: Cross multiply
    2,865.76x = 4,298.02 × 1,016.94
  4. Step 4: Simplify right side
    2,865.76x = 4,370,828.46
  5. Step 5: Solve for x
    x = 4,370,828.46/2,865.76
  6. Step 6: Final answer
    x = 1,525.19

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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.