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Finding the Fourth Proportional to 2,802.97, 3,868.02 and 1,608.16

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Solution

The fourth proportional to 2,802.97, 3,868.02 and 1,608.16 is: 2,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.97 : 3,868.02 = 1,608.16 : x
  2. Step 2: Convert to fraction form
    2,802.97/3,868.02 = 1,608.16/x
  3. Step 3: Cross multiply
    2,802.97x = 3,868.02 × 1,608.16
  4. Step 4: Simplify right side
    2,802.97x = 6,220,385.37
  5. Step 5: Solve for x
    x = 6,220,385.37/2,802.97
  6. Step 6: Final answer
    x = 2,219.21

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1.5x scale

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.