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Finding the Fourth Proportional to 1,802.54, 2,702.61 and 648.14

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Solution

The fourth proportional to 1,802.54, 2,702.61 and 648.14 is: 971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.54 : 2,702.61 = 648.14 : x
  2. Step 2: Convert to fraction form
    1,802.54/2,702.61 = 648.14/x
  3. Step 3: Cross multiply
    1,802.54x = 2,702.61 × 648.14
  4. Step 4: Simplify right side
    1,802.54x = 1,751,669.65
  5. Step 5: Solve for x
    x = 1,751,669.65/1,802.54
  6. Step 6: Final answer
    x = 971.78

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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.