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Finding the Fourth Proportional to 1,825.74, 2,518.29 and 1,452.06

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Solution

The fourth proportional to 1,825.74, 2,518.29 and 1,452.06 is: 2,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.74 : 2,518.29 = 1,452.06 : x
  2. Step 2: Convert to fraction form
    1,825.74/2,518.29 = 1,452.06/x
  3. Step 3: Cross multiply
    1,825.74x = 2,518.29 × 1,452.06
  4. Step 4: Simplify right side
    1,825.74x = 3,656,708.18
  5. Step 5: Solve for x
    x = 3,656,708.18/1,825.74
  6. Step 6: Final answer
    x = 2,002.86

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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.