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Finding the Fourth Proportional to 3,045.47, 4,202.82 and 1,719.09

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Solution

The fourth proportional to 3,045.47, 4,202.82 and 1,719.09 is: 2,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.47 : 4,202.82 = 1,719.09 : x
  2. Step 2: Convert to fraction form
    3,045.47/4,202.82 = 1,719.09/x
  3. Step 3: Cross multiply
    3,045.47x = 4,202.82 × 1,719.09
  4. Step 4: Simplify right side
    3,045.47x = 7,225,025.83
  5. Step 5: Solve for x
    x = 7,225,025.83/3,045.47
  6. Step 6: Final answer
    x = 2,372.39

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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.