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Finding the Fourth Proportional to 1,855.76, 2,783.80 and 701.52

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Solution

The fourth proportional to 1,855.76, 2,783.80 and 701.52 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,855.76 : 2,783.80 = 701.52 : x
  2. Step 2: Convert to fraction form
    1,855.76/2,783.80 = 701.52/x
  3. Step 3: Cross multiply
    1,855.76x = 2,783.80 × 701.52
  4. Step 4: Simplify right side
    1,855.76x = 1,952,891.38
  5. Step 5: Solve for x
    x = 1,952,891.38/1,855.76
  6. Step 6: Final answer
    x = 1,052.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.