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Finding the Fourth Proportional to 1,492.91, 2,060.14 and 829.72

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Solution

The fourth proportional to 1,492.91, 2,060.14 and 829.72 is: 1,144.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.91 : 2,060.14 = 829.72 : x
  2. Step 2: Convert to fraction form
    1,492.91/2,060.14 = 829.72/x
  3. Step 3: Cross multiply
    1,492.91x = 2,060.14 × 829.72
  4. Step 4: Simplify right side
    1,492.91x = 1,709,335.21
  5. Step 5: Solve for x
    x = 1,709,335.21/1,492.91
  6. Step 6: Final answer
    x = 1,144.97

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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.