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Finding the Fourth Proportional to 2,793.42, 4,184.55 and 1,402.65

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Solution

The fourth proportional to 2,793.42, 4,184.55 and 1,402.65 is: 2,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.42 : 4,184.55 = 1,402.65 : x
  2. Step 2: Convert to fraction form
    2,793.42/4,184.55 = 1,402.65/x
  3. Step 3: Cross multiply
    2,793.42x = 4,184.55 × 1,402.65
  4. Step 4: Simplify right side
    2,793.42x = 5,869,459.06
  5. Step 5: Solve for x
    x = 5,869,459.06/2,793.42
  6. Step 6: Final answer
    x = 2,101.17

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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.