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Finding the Fourth Proportional to 2,592.58, 3,886.44 and 1,292.62

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Solution

The fourth proportional to 2,592.58, 3,886.44 and 1,292.62 is: 1,937.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.58 : 3,886.44 = 1,292.62 : x
  2. Step 2: Convert to fraction form
    2,592.58/3,886.44 = 1,292.62/x
  3. Step 3: Cross multiply
    2,592.58x = 3,886.44 × 1,292.62
  4. Step 4: Simplify right side
    2,592.58x = 5,023,690.07
  5. Step 5: Solve for x
    x = 5,023,690.07/2,592.58
  6. Step 6: Final answer
    x = 1,937.72

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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.