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Finding the Fourth Proportional to 3,045.40, 4,202.85 and 1,719.43

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Solution

The fourth proportional to 3,045.40, 4,202.85 and 1,719.43 is: 2,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.40 : 4,202.85 = 1,719.43 : x
  2. Step 2: Convert to fraction form
    3,045.40/4,202.85 = 1,719.43/x
  3. Step 3: Cross multiply
    3,045.40x = 4,202.85 × 1,719.43
  4. Step 4: Simplify right side
    3,045.40x = 7,226,506.38
  5. Step 5: Solve for x
    x = 7,226,506.38/3,045.40
  6. Step 6: Final answer
    x = 2,372.93

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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.