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Finding the Fourth Proportional to 2,264.99, 3,126.86 and 1,759.72

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Solution

The fourth proportional to 2,264.99, 3,126.86 and 1,759.72 is: 2,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.99 : 3,126.86 = 1,759.72 : x
  2. Step 2: Convert to fraction form
    2,264.99/3,126.86 = 1,759.72/x
  3. Step 3: Cross multiply
    2,264.99x = 3,126.86 × 1,759.72
  4. Step 4: Simplify right side
    2,264.99x = 5,502,394.66
  5. Step 5: Solve for x
    x = 5,502,394.66/2,264.99
  6. Step 6: Final answer
    x = 2,429.32

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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.