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Finding the Fourth Proportional to 1,978.36, 2,967.62 and 591.72

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Solution

The fourth proportional to 1,978.36, 2,967.62 and 591.72 is: 887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.36 : 2,967.62 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,978.36/2,967.62 = 591.72/x
  3. Step 3: Cross multiply
    1,978.36x = 2,967.62 × 591.72
  4. Step 4: Simplify right side
    1,978.36x = 1,756,000.11
  5. Step 5: Solve for x
    x = 1,756,000.11/1,978.36
  6. Step 6: Final answer
    x = 887.60

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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.