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Finding the Fourth Proportional to 2,473.07, 3,412.81 and 1,354.00

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Solution

The fourth proportional to 2,473.07, 3,412.81 and 1,354.00 is: 1,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.07 : 3,412.81 = 1,354.00 : x
  2. Step 2: Convert to fraction form
    2,473.07/3,412.81 = 1,354.00/x
  3. Step 3: Cross multiply
    2,473.07x = 3,412.81 × 1,354.00
  4. Step 4: Simplify right side
    2,473.07x = 4,620,929.44
  5. Step 5: Solve for x
    x = 4,620,929.44/2,473.07
  6. Step 6: Final answer
    x = 1,868.50

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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.