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Finding the Fourth Proportional to 1,762.74, 2,631.22 and 1,626.66

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Solution

The fourth proportional to 1,762.74, 2,631.22 and 1,626.66 is: 2,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.74 : 2,631.22 = 1,626.66 : x
  2. Step 2: Convert to fraction form
    1,762.74/2,631.22 = 1,626.66/x
  3. Step 3: Cross multiply
    1,762.74x = 2,631.22 × 1,626.66
  4. Step 4: Simplify right side
    1,762.74x = 4,280,100.33
  5. Step 5: Solve for x
    x = 4,280,100.33/1,762.74
  6. Step 6: Final answer
    x = 2,428.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.