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Finding the Fourth Proportional to 1,757.95, 2,637.26 and 784.08

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Solution

The fourth proportional to 1,757.95, 2,637.26 and 784.08 is: 1,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.95 : 2,637.26 = 784.08 : x
  2. Step 2: Convert to fraction form
    1,757.95/2,637.26 = 784.08/x
  3. Step 3: Cross multiply
    1,757.95x = 2,637.26 × 784.08
  4. Step 4: Simplify right side
    1,757.95x = 2,067,821.84
  5. Step 5: Solve for x
    x = 2,067,821.84/1,757.95
  6. Step 6: Final answer
    x = 1,176.27

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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.