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Finding the Fourth Proportional to 1,341.68, 2,012.61 and 417.27

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Solution

The fourth proportional to 1,341.68, 2,012.61 and 417.27 is: 625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.68 : 2,012.61 = 417.27 : x
  2. Step 2: Convert to fraction form
    1,341.68/2,012.61 = 417.27/x
  3. Step 3: Cross multiply
    1,341.68x = 2,012.61 × 417.27
  4. Step 4: Simplify right side
    1,341.68x = 839,799.57
  5. Step 5: Solve for x
    x = 839,799.57/1,341.68
  6. Step 6: Final answer
    x = 625.93

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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.