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Finding the Fourth Proportional to 2,437.91, 3,656.86 and 978.09

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Solution

The fourth proportional to 2,437.91, 3,656.86 and 978.09 is: 1,467.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.91 : 3,656.86 = 978.09 : x
  2. Step 2: Convert to fraction form
    2,437.91/3,656.86 = 978.09/x
  3. Step 3: Cross multiply
    2,437.91x = 3,656.86 × 978.09
  4. Step 4: Simplify right side
    2,437.91x = 3,576,722.04
  5. Step 5: Solve for x
    x = 3,576,722.04/2,437.91
  6. Step 6: Final answer
    x = 1,467.13

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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.