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Finding the Fourth Proportional to 1,341.46, 2,011.74 and 416.80

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Solution

The fourth proportional to 1,341.46, 2,011.74 and 416.80 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.46 : 2,011.74 = 416.80 : x
  2. Step 2: Convert to fraction form
    1,341.46/2,011.74 = 416.80/x
  3. Step 3: Cross multiply
    1,341.46x = 2,011.74 × 416.80
  4. Step 4: Simplify right side
    1,341.46x = 838,493.23
  5. Step 5: Solve for x
    x = 838,493.23/1,341.46
  6. Step 6: Final answer
    x = 625.06

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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.