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Finding the Fourth Proportional to 2,803.70, 4,199.47 and 2,032.50

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Solution

The fourth proportional to 2,803.70, 4,199.47 and 2,032.50 is: 3,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.70 : 4,199.47 = 2,032.50 : x
  2. Step 2: Convert to fraction form
    2,803.70/4,199.47 = 2,032.50/x
  3. Step 3: Cross multiply
    2,803.70x = 4,199.47 × 2,032.50
  4. Step 4: Simplify right side
    2,803.70x = 8,535,422.78
  5. Step 5: Solve for x
    x = 8,535,422.78/2,803.70
  6. Step 6: Final answer
    x = 3,044.34

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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.