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Finding the Fourth Proportional to 1,767.56, 2,436.99 and 1,264.02

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Solution

The fourth proportional to 1,767.56, 2,436.99 and 1,264.02 is: 1,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.56 : 2,436.99 = 1,264.02 : x
  2. Step 2: Convert to fraction form
    1,767.56/2,436.99 = 1,264.02/x
  3. Step 3: Cross multiply
    1,767.56x = 2,436.99 × 1,264.02
  4. Step 4: Simplify right side
    1,767.56x = 3,080,404.10
  5. Step 5: Solve for x
    x = 3,080,404.10/1,767.56
  6. Step 6: Final answer
    x = 1,742.74

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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.