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Finding the Fourth Proportional to 1,914, 2,870.82 and 615.48

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Solution

The fourth proportional to 1,914, 2,870.82 and 615.48 is: 923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914 : 2,870.82 = 615.48 : x
  2. Step 2: Convert to fraction form
    1,914/2,870.82 = 615.48/x
  3. Step 3: Cross multiply
    1,914x = 2,870.82 × 615.48
  4. Step 4: Simplify right side
    1,914x = 1,766,932.29
  5. Step 5: Solve for x
    x = 1,766,932.29/1,914
  6. Step 6: Final answer
    x = 923.16

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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.