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Finding the Fourth Proportional to 2,763.84, 4,144.08 and 1,030.44

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Solution

The fourth proportional to 2,763.84, 4,144.08 and 1,030.44 is: 1,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.84 : 4,144.08 = 1,030.44 : x
  2. Step 2: Convert to fraction form
    2,763.84/4,144.08 = 1,030.44/x
  3. Step 3: Cross multiply
    2,763.84x = 4,144.08 × 1,030.44
  4. Step 4: Simplify right side
    2,763.84x = 4,270,225.80
  5. Step 5: Solve for x
    x = 4,270,225.80/2,763.84
  6. Step 6: Final answer
    x = 1,545.03

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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.