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Finding the Fourth Proportional to 1,801.54, 2,703.06 and 978.82

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Solution

The fourth proportional to 1,801.54, 2,703.06 and 978.82 is: 1,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.54 : 2,703.06 = 978.82 : x
  2. Step 2: Convert to fraction form
    1,801.54/2,703.06 = 978.82/x
  3. Step 3: Cross multiply
    1,801.54x = 2,703.06 × 978.82
  4. Step 4: Simplify right side
    1,801.54x = 2,645,809.19
  5. Step 5: Solve for x
    x = 2,645,809.19/1,801.54
  6. Step 6: Final answer
    x = 1,468.64

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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.