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Finding the Fourth Proportional to 2,078.34, 2,864.15 and 1,487.85

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Solution

The fourth proportional to 2,078.34, 2,864.15 and 1,487.85 is: 2,050.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.34 : 2,864.15 = 1,487.85 : x
  2. Step 2: Convert to fraction form
    2,078.34/2,864.15 = 1,487.85/x
  3. Step 3: Cross multiply
    2,078.34x = 2,864.15 × 1,487.85
  4. Step 4: Simplify right side
    2,078.34x = 4,261,403.82
  5. Step 5: Solve for x
    x = 4,261,403.82/2,078.34
  6. Step 6: Final answer
    x = 2,050.39

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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.