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Finding the Fourth Proportional to 2,761.43, 3,807.74 and 1,875.69

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Solution

The fourth proportional to 2,761.43, 3,807.74 and 1,875.69 is: 2,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.43 : 3,807.74 = 1,875.69 : x
  2. Step 2: Convert to fraction form
    2,761.43/3,807.74 = 1,875.69/x
  3. Step 3: Cross multiply
    2,761.43x = 3,807.74 × 1,875.69
  4. Step 4: Simplify right side
    2,761.43x = 7,142,144.53
  5. Step 5: Solve for x
    x = 7,142,144.53/2,761.43
  6. Step 6: Final answer
    x = 2,586.40

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Why These Related Problems?

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