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Finding the Fourth Proportional to 2,598.35, 3,892.66 and 1,300.73

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Solution

The fourth proportional to 2,598.35, 3,892.66 and 1,300.73 is: 1,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.35 : 3,892.66 = 1,300.73 : x
  2. Step 2: Convert to fraction form
    2,598.35/3,892.66 = 1,300.73/x
  3. Step 3: Cross multiply
    2,598.35x = 3,892.66 × 1,300.73
  4. Step 4: Simplify right side
    2,598.35x = 5,063,276.93
  5. Step 5: Solve for x
    x = 5,063,276.93/2,598.35
  6. Step 6: Final answer
    x = 1,948.65

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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.