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Finding the Fourth Proportional to 2,802.39, 3,867.30 and 1,560.39

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Solution

The fourth proportional to 2,802.39, 3,867.30 and 1,560.39 is: 2,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.39 : 3,867.30 = 1,560.39 : x
  2. Step 2: Convert to fraction form
    2,802.39/3,867.30 = 1,560.39/x
  3. Step 3: Cross multiply
    2,802.39x = 3,867.30 × 1,560.39
  4. Step 4: Simplify right side
    2,802.39x = 6,034,496.25
  5. Step 5: Solve for x
    x = 6,034,496.25/2,802.39
  6. Step 6: Final answer
    x = 2,153.34

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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.