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Finding the Fourth Proportional to 1,626.13, 2,440.55 and 804.66

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Solution

The fourth proportional to 1,626.13, 2,440.55 and 804.66 is: 1,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.13 : 2,440.55 = 804.66 : x
  2. Step 2: Convert to fraction form
    1,626.13/2,440.55 = 804.66/x
  3. Step 3: Cross multiply
    1,626.13x = 2,440.55 × 804.66
  4. Step 4: Simplify right side
    1,626.13x = 1,963,812.96
  5. Step 5: Solve for x
    x = 1,963,812.96/1,626.13
  6. Step 6: Final answer
    x = 1,207.66

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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.