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Finding the Fourth Proportional to 2,570.50, 3,860.93 and 1,532.53

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Solution

The fourth proportional to 2,570.50, 3,860.93 and 1,532.53 is: 2,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.50 : 3,860.93 = 1,532.53 : x
  2. Step 2: Convert to fraction form
    2,570.50/3,860.93 = 1,532.53/x
  3. Step 3: Cross multiply
    2,570.50x = 3,860.93 × 1,532.53
  4. Step 4: Simplify right side
    2,570.50x = 5,916,991.05
  5. Step 5: Solve for x
    x = 5,916,991.05/2,570.50
  6. Step 6: Final answer
    x = 2,301.88

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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.