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Finding the Fourth Proportional to 2,264.74, 3,126.88 and 1,415.29

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Solution

The fourth proportional to 2,264.74, 3,126.88 and 1,415.29 is: 1,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.74 : 3,126.88 = 1,415.29 : x
  2. Step 2: Convert to fraction form
    2,264.74/3,126.88 = 1,415.29/x
  3. Step 3: Cross multiply
    2,264.74x = 3,126.88 × 1,415.29
  4. Step 4: Simplify right side
    2,264.74x = 4,425,442.37
  5. Step 5: Solve for x
    x = 4,425,442.37/2,264.74
  6. Step 6: Final answer
    x = 1,954.06

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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.