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Finding the Fourth Proportional to 2,030.50, 3,046.02 and 876.52

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Solution

The fourth proportional to 2,030.50, 3,046.02 and 876.52 is: 1,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.50 : 3,046.02 = 876.52 : x
  2. Step 2: Convert to fraction form
    2,030.50/3,046.02 = 876.52/x
  3. Step 3: Cross multiply
    2,030.50x = 3,046.02 × 876.52
  4. Step 4: Simplify right side
    2,030.50x = 2,669,897.45
  5. Step 5: Solve for x
    x = 2,669,897.45/2,030.50
  6. Step 6: Final answer
    x = 1,314.90

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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.