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Finding the Fourth Proportional to 2,800.47, 3,864.66 and 1,524.34

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Solution

The fourth proportional to 2,800.47, 3,864.66 and 1,524.34 is: 2,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.47 : 3,864.66 = 1,524.34 : x
  2. Step 2: Convert to fraction form
    2,800.47/3,864.66 = 1,524.34/x
  3. Step 3: Cross multiply
    2,800.47x = 3,864.66 × 1,524.34
  4. Step 4: Simplify right side
    2,800.47x = 5,891,055.82
  5. Step 5: Solve for x
    x = 5,891,055.82/2,800.47
  6. Step 6: Final answer
    x = 2,103.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.