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Finding the Fourth Proportional to 1,396.16, 2,095.59 and 1,027.10

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Solution

The fourth proportional to 1,396.16, 2,095.59 and 1,027.10 is: 1,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.16 : 2,095.59 = 1,027.10 : x
  2. Step 2: Convert to fraction form
    1,396.16/2,095.59 = 1,027.10/x
  3. Step 3: Cross multiply
    1,396.16x = 2,095.59 × 1,027.10
  4. Step 4: Simplify right side
    1,396.16x = 2,152,380.49
  5. Step 5: Solve for x
    x = 2,152,380.49/1,396.16
  6. Step 6: Final answer
    x = 1,541.64

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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.