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Finding the Fourth Proportional to 3,042, 4,563 and 1,580.76

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Solution

The fourth proportional to 3,042, 4,563 and 1,580.76 is: 2,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042 : 4,563 = 1,580.76 : x
  2. Step 2: Convert to fraction form
    3,042/4,563 = 1,580.76/x
  3. Step 3: Cross multiply
    3,042x = 4,563 × 1,580.76
  4. Step 4: Simplify right side
    3,042x = 7,213,007.88
  5. Step 5: Solve for x
    x = 7,213,007.88/3,042
  6. Step 6: Final answer
    x = 2,371.14

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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.