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Finding the Fourth Proportional to 1,870.75, 2,581.11 and 1,476.55

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Solution

The fourth proportional to 1,870.75, 2,581.11 and 1,476.55 is: 2,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.75 : 2,581.11 = 1,476.55 : x
  2. Step 2: Convert to fraction form
    1,870.75/2,581.11 = 1,476.55/x
  3. Step 3: Cross multiply
    1,870.75x = 2,581.11 × 1,476.55
  4. Step 4: Simplify right side
    1,870.75x = 3,811,137.97
  5. Step 5: Solve for x
    x = 3,811,137.97/1,870.75
  6. Step 6: Final answer
    x = 2,037.22

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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.