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Finding the Fourth Proportional to 2,066.65, 3,098.76 and 971.53

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Solution

The fourth proportional to 2,066.65, 3,098.76 and 971.53 is: 1,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.65 : 3,098.76 = 971.53 : x
  2. Step 2: Convert to fraction form
    2,066.65/3,098.76 = 971.53/x
  3. Step 3: Cross multiply
    2,066.65x = 3,098.76 × 971.53
  4. Step 4: Simplify right side
    2,066.65x = 3,010,538.30
  5. Step 5: Solve for x
    x = 3,010,538.30/2,066.65
  6. Step 6: Final answer
    x = 1,456.72

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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.