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Finding the Fourth Proportional to 2,572.65, 3,860.19 and 1,275.03

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Solution

The fourth proportional to 2,572.65, 3,860.19 and 1,275.03 is: 1,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.65 : 3,860.19 = 1,275.03 : x
  2. Step 2: Convert to fraction form
    2,572.65/3,860.19 = 1,275.03/x
  3. Step 3: Cross multiply
    2,572.65x = 3,860.19 × 1,275.03
  4. Step 4: Simplify right side
    2,572.65x = 4,921,858.06
  5. Step 5: Solve for x
    x = 4,921,858.06/2,572.65
  6. Step 6: Final answer
    x = 1,913.15

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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.