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Finding the Fourth Proportional to 2,077.52, 2,866.96 and 1,146

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Solution

The fourth proportional to 2,077.52, 2,866.96 and 1,146 is: 1,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.52 : 2,866.96 = 1,146 : x
  2. Step 2: Convert to fraction form
    2,077.52/2,866.96 = 1,146/x
  3. Step 3: Cross multiply
    2,077.52x = 2,866.96 × 1,146
  4. Step 4: Simplify right side
    2,077.52x = 3,285,536.16
  5. Step 5: Solve for x
    x = 3,285,536.16/2,077.52
  6. Step 6: Final answer
    x = 1,581.47

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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.