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Finding the Fourth Proportional to 1,850.28, 2,552.94 and 1,151.16

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Solution

The fourth proportional to 1,850.28, 2,552.94 and 1,151.16 is: 1,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.28 : 2,552.94 = 1,151.16 : x
  2. Step 2: Convert to fraction form
    1,850.28/2,552.94 = 1,151.16/x
  3. Step 3: Cross multiply
    1,850.28x = 2,552.94 × 1,151.16
  4. Step 4: Simplify right side
    1,850.28x = 2,938,842.41
  5. Step 5: Solve for x
    x = 2,938,842.41/1,850.28
  6. Step 6: Final answer
    x = 1,588.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.