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Finding the Fourth Proportional to 2,927.16, 4,389.06 and 978.30

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Solution

The fourth proportional to 2,927.16, 4,389.06 and 978.30 is: 1,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.16 : 4,389.06 = 978.30 : x
  2. Step 2: Convert to fraction form
    2,927.16/4,389.06 = 978.30/x
  3. Step 3: Cross multiply
    2,927.16x = 4,389.06 × 978.30
  4. Step 4: Simplify right side
    2,927.16x = 4,293,817.40
  5. Step 5: Solve for x
    x = 4,293,817.40/2,927.16
  6. Step 6: Final answer
    x = 1,466.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.