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Finding the Fourth Proportional to 1,756.00, 2,418.05 and 1,257.78

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Solution

The fourth proportional to 1,756.00, 2,418.05 and 1,257.78 is: 1,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.00 : 2,418.05 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    1,756.00/2,418.05 = 1,257.78/x
  3. Step 3: Cross multiply
    1,756.00x = 2,418.05 × 1,257.78
  4. Step 4: Simplify right side
    1,756.00x = 3,041,378.07
  5. Step 5: Solve for x
    x = 3,041,378.07/1,756.00
  6. Step 6: Final answer
    x = 1,731.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.