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Finding the Fourth Proportional to 2,802.64, 4,203.72 and 1,415.44

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Solution

The fourth proportional to 2,802.64, 4,203.72 and 1,415.44 is: 2,123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.64 : 4,203.72 = 1,415.44 : x
  2. Step 2: Convert to fraction form
    2,802.64/4,203.72 = 1,415.44/x
  3. Step 3: Cross multiply
    2,802.64x = 4,203.72 × 1,415.44
  4. Step 4: Simplify right side
    2,802.64x = 5,950,113.44
  5. Step 5: Solve for x
    x = 5,950,113.44/2,802.64
  6. Step 6: Final answer
    x = 2,123.04

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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.