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Finding the Fourth Proportional to 2,868.83, 4,302.03 and 1,020.41

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Solution

The fourth proportional to 2,868.83, 4,302.03 and 1,020.41 is: 1,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.83 : 4,302.03 = 1,020.41 : x
  2. Step 2: Convert to fraction form
    2,868.83/4,302.03 = 1,020.41/x
  3. Step 3: Cross multiply
    2,868.83x = 4,302.03 × 1,020.41
  4. Step 4: Simplify right side
    2,868.83x = 4,389,827.14
  5. Step 5: Solve for x
    x = 4,389,827.14/2,868.83
  6. Step 6: Final answer
    x = 1,530.18

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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.