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Finding the Fourth Proportional to 2,510.96, 3,764.96 and 1,051.20

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Solution

The fourth proportional to 2,510.96, 3,764.96 and 1,051.20 is: 1,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.96 : 3,764.96 = 1,051.20 : x
  2. Step 2: Convert to fraction form
    2,510.96/3,764.96 = 1,051.20/x
  3. Step 3: Cross multiply
    2,510.96x = 3,764.96 × 1,051.20
  4. Step 4: Simplify right side
    2,510.96x = 3,957,725.95
  5. Step 5: Solve for x
    x = 3,957,725.95/2,510.96
  6. Step 6: Final answer
    x = 1,576.18

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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.