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Finding the Fourth Proportional to 1,474.57, 2,034.86 and 802.34

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Solution

The fourth proportional to 1,474.57, 2,034.86 and 802.34 is: 1,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.57 : 2,034.86 = 802.34 : x
  2. Step 2: Convert to fraction form
    1,474.57/2,034.86 = 802.34/x
  3. Step 3: Cross multiply
    1,474.57x = 2,034.86 × 802.34
  4. Step 4: Simplify right side
    1,474.57x = 1,632,649.57
  5. Step 5: Solve for x
    x = 1,632,649.57/1,474.57
  6. Step 6: Final answer
    x = 1,107.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.