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Finding the Fourth Proportional to 1,978.16, 2,967.23 and 591.49

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Solution

The fourth proportional to 1,978.16, 2,967.23 and 591.49 is: 887.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.16 : 2,967.23 = 591.49 : x
  2. Step 2: Convert to fraction form
    1,978.16/2,967.23 = 591.49/x
  3. Step 3: Cross multiply
    1,978.16x = 2,967.23 × 591.49
  4. Step 4: Simplify right side
    1,978.16x = 1,755,088.73
  5. Step 5: Solve for x
    x = 1,755,088.73/1,978.16
  6. Step 6: Final answer
    x = 887.24

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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.