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Finding the Fourth Proportional to 2,926.64, 4,389.03 and 978.38

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Solution

The fourth proportional to 2,926.64, 4,389.03 and 978.38 is: 1,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.64 : 4,389.03 = 978.38 : x
  2. Step 2: Convert to fraction form
    2,926.64/4,389.03 = 978.38/x
  3. Step 3: Cross multiply
    2,926.64x = 4,389.03 × 978.38
  4. Step 4: Simplify right side
    2,926.64x = 4,294,117.23
  5. Step 5: Solve for x
    x = 4,294,117.23/2,926.64
  6. Step 6: Final answer
    x = 1,467.25

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Why These Related Problems?

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