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Finding the Fourth Proportional to 2,077.76, 3,116.63 and 1,973.94

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Solution

The fourth proportional to 2,077.76, 3,116.63 and 1,973.94 is: 2,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.76 : 3,116.63 = 1,973.94 : x
  2. Step 2: Convert to fraction form
    2,077.76/3,116.63 = 1,973.94/x
  3. Step 3: Cross multiply
    2,077.76x = 3,116.63 × 1,973.94
  4. Step 4: Simplify right side
    2,077.76x = 6,152,040.62
  5. Step 5: Solve for x
    x = 6,152,040.62/2,077.76
  6. Step 6: Final answer
    x = 2,960.90

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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.