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Finding the Fourth Proportional to 2,703.88, 4,055.82 and 1,143.44

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Solution

The fourth proportional to 2,703.88, 4,055.82 and 1,143.44 is: 1,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.88 : 4,055.82 = 1,143.44 : x
  2. Step 2: Convert to fraction form
    2,703.88/4,055.82 = 1,143.44/x
  3. Step 3: Cross multiply
    2,703.88x = 4,055.82 × 1,143.44
  4. Step 4: Simplify right side
    2,703.88x = 4,637,586.82
  5. Step 5: Solve for x
    x = 4,637,586.82/2,703.88
  6. Step 6: Final answer
    x = 1,715.16

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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.