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Finding the Fourth Proportional to 2,366.33, 3,547.43 and 978.80

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Solution

The fourth proportional to 2,366.33, 3,547.43 and 978.80 is: 1,467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.33 : 3,547.43 = 978.80 : x
  2. Step 2: Convert to fraction form
    2,366.33/3,547.43 = 978.80/x
  3. Step 3: Cross multiply
    2,366.33x = 3,547.43 × 978.80
  4. Step 4: Simplify right side
    2,366.33x = 3,472,224.48
  5. Step 5: Solve for x
    x = 3,472,224.48/2,366.33
  6. Step 6: Final answer
    x = 1,467.35

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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.