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Finding the Fourth Proportional to 2,967.72, 4,451.56 and 2,319

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Solution

The fourth proportional to 2,967.72, 4,451.56 and 2,319 is: 3,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.72 : 4,451.56 = 2,319 : x
  2. Step 2: Convert to fraction form
    2,967.72/4,451.56 = 2,319/x
  3. Step 3: Cross multiply
    2,967.72x = 4,451.56 × 2,319
  4. Step 4: Simplify right side
    2,967.72x = 10,323,167.64
  5. Step 5: Solve for x
    x = 10,323,167.64/2,967.72
  6. Step 6: Final answer
    x = 3,478.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.