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Finding the Fourth Proportional to 2,802.54, 4,203.50 and 1,415.34

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Solution

The fourth proportional to 2,802.54, 4,203.50 and 1,415.34 is: 2,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.54 : 4,203.50 = 1,415.34 : x
  2. Step 2: Convert to fraction form
    2,802.54/4,203.50 = 1,415.34/x
  3. Step 3: Cross multiply
    2,802.54x = 4,203.50 × 1,415.34
  4. Step 4: Simplify right side
    2,802.54x = 5,949,381.69
  5. Step 5: Solve for x
    x = 5,949,381.69/2,802.54
  6. Step 6: Final answer
    x = 2,122.85

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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.