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Finding the Fourth Proportional to 2,914.75, 4,372.51 and 1,066.74

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Solution

The fourth proportional to 2,914.75, 4,372.51 and 1,066.74 is: 1,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.75 : 4,372.51 = 1,066.74 : x
  2. Step 2: Convert to fraction form
    2,914.75/4,372.51 = 1,066.74/x
  3. Step 3: Cross multiply
    2,914.75x = 4,372.51 × 1,066.74
  4. Step 4: Simplify right side
    2,914.75x = 4,664,331.32
  5. Step 5: Solve for x
    x = 4,664,331.32/2,914.75
  6. Step 6: Final answer
    x = 1,600.25

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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.