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Finding the Fourth Proportional to 1,886.74, 2,825.55 and 1,522.24

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Solution

The fourth proportional to 1,886.74, 2,825.55 and 1,522.24 is: 2,279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.74 : 2,825.55 = 1,522.24 : x
  2. Step 2: Convert to fraction form
    1,886.74/2,825.55 = 1,522.24/x
  3. Step 3: Cross multiply
    1,886.74x = 2,825.55 × 1,522.24
  4. Step 4: Simplify right side
    1,886.74x = 4,301,158.17
  5. Step 5: Solve for x
    x = 4,301,158.17/1,886.74
  6. Step 6: Final answer
    x = 2,279.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.