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Finding the Fourth Proportional to 2,264.98, 3,126.21 and 1,436.50

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Solution

The fourth proportional to 2,264.98, 3,126.21 and 1,436.50 is: 1,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.98 : 3,126.21 = 1,436.50 : x
  2. Step 2: Convert to fraction form
    2,264.98/3,126.21 = 1,436.50/x
  3. Step 3: Cross multiply
    2,264.98x = 3,126.21 × 1,436.50
  4. Step 4: Simplify right side
    2,264.98x = 4,490,800.67
  5. Step 5: Solve for x
    x = 4,490,800.67/2,264.98
  6. Step 6: Final answer
    x = 1,982.71

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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.