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Finding the Fourth Proportional to 3,073.49, 4,590.64 and 2,780.54

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Solution

The fourth proportional to 3,073.49, 4,590.64 and 2,780.54 is: 4,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.49 : 4,590.64 = 2,780.54 : x
  2. Step 2: Convert to fraction form
    3,073.49/4,590.64 = 2,780.54/x
  3. Step 3: Cross multiply
    3,073.49x = 4,590.64 × 2,780.54
  4. Step 4: Simplify right side
    3,073.49x = 12,764,458.15
  5. Step 5: Solve for x
    x = 12,764,458.15/3,073.49
  6. Step 6: Final answer
    x = 4,153.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.