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Finding the Fourth Proportional to 2,473.10, 3,412.80 and 1,354.08

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Solution

The fourth proportional to 2,473.10, 3,412.80 and 1,354.08 is: 1,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.10 : 3,412.80 = 1,354.08 : x
  2. Step 2: Convert to fraction form
    2,473.10/3,412.80 = 1,354.08/x
  3. Step 3: Cross multiply
    2,473.10x = 3,412.80 × 1,354.08
  4. Step 4: Simplify right side
    2,473.10x = 4,621,204.22
  5. Step 5: Solve for x
    x = 4,621,204.22/2,473.10
  6. Step 6: Final answer
    x = 1,868.59

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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.