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Finding the Fourth Proportional to 2,473.19, 3,412.91 and 1,354.11

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Solution

The fourth proportional to 2,473.19, 3,412.91 and 1,354.11 is: 1,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.19 : 3,412.91 = 1,354.11 : x
  2. Step 2: Convert to fraction form
    2,473.19/3,412.91 = 1,354.11/x
  3. Step 3: Cross multiply
    2,473.19x = 3,412.91 × 1,354.11
  4. Step 4: Simplify right side
    2,473.19x = 4,621,455.56
  5. Step 5: Solve for x
    x = 4,621,455.56/2,473.19
  6. Step 6: Final answer
    x = 1,868.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.