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Finding the Fourth Proportional to 2,319.60, 3,482.10 and 1,396.20

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Solution

The fourth proportional to 2,319.60, 3,482.10 and 1,396.20 is: 2,095.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.60 : 3,482.10 = 1,396.20 : x
  2. Step 2: Convert to fraction form
    2,319.60/3,482.10 = 1,396.20/x
  3. Step 3: Cross multiply
    2,319.60x = 3,482.10 × 1,396.20
  4. Step 4: Simplify right side
    2,319.60x = 4,861,708.02
  5. Step 5: Solve for x
    x = 4,861,708.02/2,319.60
  6. Step 6: Final answer
    x = 2,095.93

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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.