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Finding the Fourth Proportional to 1,806.15, 2,492.49 and 978.15

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Solution

The fourth proportional to 1,806.15, 2,492.49 and 978.15 is: 1,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.15 : 2,492.49 = 978.15 : x
  2. Step 2: Convert to fraction form
    1,806.15/2,492.49 = 978.15/x
  3. Step 3: Cross multiply
    1,806.15x = 2,492.49 × 978.15
  4. Step 4: Simplify right side
    1,806.15x = 2,438,024.20
  5. Step 5: Solve for x
    x = 2,438,024.20/1,806.15
  6. Step 6: Final answer
    x = 1,349.85

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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.