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Finding the Fourth Proportional to 2,800.86, 4,201.29 and 1,510.53

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Solution

The fourth proportional to 2,800.86, 4,201.29 and 1,510.53 is: 2,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.86 : 4,201.29 = 1,510.53 : x
  2. Step 2: Convert to fraction form
    2,800.86/4,201.29 = 1,510.53/x
  3. Step 3: Cross multiply
    2,800.86x = 4,201.29 × 1,510.53
  4. Step 4: Simplify right side
    2,800.86x = 6,346,174.58
  5. Step 5: Solve for x
    x = 6,346,174.58/2,800.86
  6. Step 6: Final answer
    x = 2,265.80

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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.