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Finding the Fourth Proportional to 1,806.17, 2,492.52 and 978.17

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Solution

The fourth proportional to 1,806.17, 2,492.52 and 978.17 is: 1,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.17 : 2,492.52 = 978.17 : x
  2. Step 2: Convert to fraction form
    1,806.17/2,492.52 = 978.17/x
  3. Step 3: Cross multiply
    1,806.17x = 2,492.52 × 978.17
  4. Step 4: Simplify right side
    1,806.17x = 2,438,108.29
  5. Step 5: Solve for x
    x = 2,438,108.29/1,806.17
  6. Step 6: Final answer
    x = 1,349.88

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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.