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Finding the Fourth Proportional to 1,806.13, 2,492.46 and 978.13

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Solution

The fourth proportional to 1,806.13, 2,492.46 and 978.13 is: 1,349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.13 : 2,492.46 = 978.13 : x
  2. Step 2: Convert to fraction form
    1,806.13/2,492.46 = 978.13/x
  3. Step 3: Cross multiply
    1,806.13x = 2,492.46 × 978.13
  4. Step 4: Simplify right side
    1,806.13x = 2,437,949.90
  5. Step 5: Solve for x
    x = 2,437,949.90/1,806.13
  6. Step 6: Final answer
    x = 1,349.82

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Why These Related Problems?

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