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Finding the Fourth Proportional to 2,274.71, 3,412.63 and 1,807.94

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Solution

The fourth proportional to 2,274.71, 3,412.63 and 1,807.94 is: 2,712.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.71 : 3,412.63 = 1,807.94 : x
  2. Step 2: Convert to fraction form
    2,274.71/3,412.63 = 1,807.94/x
  3. Step 3: Cross multiply
    2,274.71x = 3,412.63 × 1,807.94
  4. Step 4: Simplify right side
    2,274.71x = 6,169,821.24
  5. Step 5: Solve for x
    x = 6,169,821.24/2,274.71
  6. Step 6: Final answer
    x = 2,712.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.