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Finding the Fourth Proportional to 1,872.29, 2,806.46 and 701.53

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Solution

The fourth proportional to 1,872.29, 2,806.46 and 701.53 is: 1,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.29 : 2,806.46 = 701.53 : x
  2. Step 2: Convert to fraction form
    1,872.29/2,806.46 = 701.53/x
  3. Step 3: Cross multiply
    1,872.29x = 2,806.46 × 701.53
  4. Step 4: Simplify right side
    1,872.29x = 1,968,817.64
  5. Step 5: Solve for x
    x = 1,968,817.64/1,872.29
  6. Step 6: Final answer
    x = 1,051.55

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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.