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Finding the Fourth Proportional to 1,823.75, 2,515.76 and 1,264.55

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Solution

The fourth proportional to 1,823.75, 2,515.76 and 1,264.55 is: 1,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.75 : 2,515.76 = 1,264.55 : x
  2. Step 2: Convert to fraction form
    1,823.75/2,515.76 = 1,264.55/x
  3. Step 3: Cross multiply
    1,823.75x = 2,515.76 × 1,264.55
  4. Step 4: Simplify right side
    1,823.75x = 3,181,290.15
  5. Step 5: Solve for x
    x = 3,181,290.15/1,823.75
  6. Step 6: Final answer
    x = 1,744.37

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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.