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Finding the Fourth Proportional to 2,176.61, 3,262.03 and 1,019.93

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Solution

The fourth proportional to 2,176.61, 3,262.03 and 1,019.93 is: 1,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.61 : 3,262.03 = 1,019.93 : x
  2. Step 2: Convert to fraction form
    2,176.61/3,262.03 = 1,019.93/x
  3. Step 3: Cross multiply
    2,176.61x = 3,262.03 × 1,019.93
  4. Step 4: Simplify right side
    2,176.61x = 3,327,042.26
  5. Step 5: Solve for x
    x = 3,327,042.26/2,176.61
  6. Step 6: Final answer
    x = 1,528.54

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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.