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Finding the Fourth Proportional to 1,751.61, 2,626.03 and 1,202.16

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Solution

The fourth proportional to 1,751.61, 2,626.03 and 1,202.16 is: 1,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.61 : 2,626.03 = 1,202.16 : x
  2. Step 2: Convert to fraction form
    1,751.61/2,626.03 = 1,202.16/x
  3. Step 3: Cross multiply
    1,751.61x = 2,626.03 × 1,202.16
  4. Step 4: Simplify right side
    1,751.61x = 3,156,908.22
  5. Step 5: Solve for x
    x = 3,156,908.22/1,751.61
  6. Step 6: Final answer
    x = 1,802.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.