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Finding the Fourth Proportional to 2,145.57, 3,213.54 and 1,864.32

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Solution

The fourth proportional to 2,145.57, 3,213.54 and 1,864.32 is: 2,792.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.57 : 3,213.54 = 1,864.32 : x
  2. Step 2: Convert to fraction form
    2,145.57/3,213.54 = 1,864.32/x
  3. Step 3: Cross multiply
    2,145.57x = 3,213.54 × 1,864.32
  4. Step 4: Simplify right side
    2,145.57x = 5,991,066.89
  5. Step 5: Solve for x
    x = 5,991,066.89/2,145.57
  6. Step 6: Final answer
    x = 2,792.30

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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.