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Finding the Fourth Proportional to 1,978.27, 2,967.32 and 497.50

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Solution

The fourth proportional to 1,978.27, 2,967.32 and 497.50 is: 746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.27 : 2,967.32 = 497.50 : x
  2. Step 2: Convert to fraction form
    1,978.27/2,967.32 = 497.50/x
  3. Step 3: Cross multiply
    1,978.27x = 2,967.32 × 497.50
  4. Step 4: Simplify right side
    1,978.27x = 1,476,235.53
  5. Step 5: Solve for x
    x = 1,476,235.53/1,978.27
  6. Step 6: Final answer
    x = 746.23

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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.