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Finding the Fourth Proportional to 1,978.04, 2,967.08 and 591.06

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Solution

The fourth proportional to 1,978.04, 2,967.08 and 591.06 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.04 : 2,967.08 = 591.06 : x
  2. Step 2: Convert to fraction form
    1,978.04/2,967.08 = 591.06/x
  3. Step 3: Cross multiply
    1,978.04x = 2,967.08 × 591.06
  4. Step 4: Simplify right side
    1,978.04x = 1,753,707.47
  5. Step 5: Solve for x
    x = 1,753,707.47/1,978.04
  6. Step 6: Final answer
    x = 886.59

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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.