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Finding the Fourth Proportional to 2,051.76, 3,077.87 and 753.23

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Solution

The fourth proportional to 2,051.76, 3,077.87 and 753.23 is: 1,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.76 : 3,077.87 = 753.23 : x
  2. Step 2: Convert to fraction form
    2,051.76/3,077.87 = 753.23/x
  3. Step 3: Cross multiply
    2,051.76x = 3,077.87 × 753.23
  4. Step 4: Simplify right side
    2,051.76x = 2,318,344.02
  5. Step 5: Solve for x
    x = 2,318,344.02/2,051.76
  6. Step 6: Final answer
    x = 1,129.93

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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.