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Finding the Fourth Proportional to 3,167.22, 4,752.54 and 1,319.61

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Solution

The fourth proportional to 3,167.22, 4,752.54 and 1,319.61 is: 1,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.22 : 4,752.54 = 1,319.61 : x
  2. Step 2: Convert to fraction form
    3,167.22/4,752.54 = 1,319.61/x
  3. Step 3: Cross multiply
    3,167.22x = 4,752.54 × 1,319.61
  4. Step 4: Simplify right side
    3,167.22x = 6,271,499.31
  5. Step 5: Solve for x
    x = 6,271,499.31/3,167.22
  6. Step 6: Final answer
    x = 1,980.13

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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.