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Finding the Fourth Proportional to 2,857.23, 4,282.07 and 1,537.74

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Solution

The fourth proportional to 2,857.23, 4,282.07 and 1,537.74 is: 2,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.23 : 4,282.07 = 1,537.74 : x
  2. Step 2: Convert to fraction form
    2,857.23/4,282.07 = 1,537.74/x
  3. Step 3: Cross multiply
    2,857.23x = 4,282.07 × 1,537.74
  4. Step 4: Simplify right side
    2,857.23x = 6,584,714.17
  5. Step 5: Solve for x
    x = 6,584,714.17/2,857.23
  6. Step 6: Final answer
    x = 2,304.58

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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.