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Finding the Fourth Proportional to 2,097.83, 3,147.35 and 1,002.21

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Solution

The fourth proportional to 2,097.83, 3,147.35 and 1,002.21 is: 1,503.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.83 : 3,147.35 = 1,002.21 : x
  2. Step 2: Convert to fraction form
    2,097.83/3,147.35 = 1,002.21/x
  3. Step 3: Cross multiply
    2,097.83x = 3,147.35 × 1,002.21
  4. Step 4: Simplify right side
    2,097.83x = 3,154,300.63
  5. Step 5: Solve for x
    x = 3,154,300.63/2,097.83
  6. Step 6: Final answer
    x = 1,503.61

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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.