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Finding the Fourth Proportional to 2,382.77, 3,572.10 and 1,151.03

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Solution

The fourth proportional to 2,382.77, 3,572.10 and 1,151.03 is: 1,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,382.77 : 3,572.10 = 1,151.03 : x
  2. Step 2: Convert to fraction form
    2,382.77/3,572.10 = 1,151.03/x
  3. Step 3: Cross multiply
    2,382.77x = 3,572.10 × 1,151.03
  4. Step 4: Simplify right side
    2,382.77x = 4,111,603.19
  5. Step 5: Solve for x
    x = 4,111,603.19/2,382.77
  6. Step 6: Final answer
    x = 1,725.55

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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.