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Finding the Fourth Proportional to 2,061, 2,842.98 and 1,431.88

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Solution

The fourth proportional to 2,061, 2,842.98 and 1,431.88 is: 1,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061 : 2,842.98 = 1,431.88 : x
  2. Step 2: Convert to fraction form
    2,061/2,842.98 = 1,431.88/x
  3. Step 3: Cross multiply
    2,061x = 2,842.98 × 1,431.88
  4. Step 4: Simplify right side
    2,061x = 4,070,806.20
  5. Step 5: Solve for x
    x = 4,070,806.20/2,061
  6. Step 6: Final answer
    x = 1,975.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.