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Finding the Fourth Proportional to 1,341.32, 2,012.21 and 416.81

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Solution

The fourth proportional to 1,341.32, 2,012.21 and 416.81 is: 625.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.32 : 2,012.21 = 416.81 : x
  2. Step 2: Convert to fraction form
    1,341.32/2,012.21 = 416.81/x
  3. Step 3: Cross multiply
    1,341.32x = 2,012.21 × 416.81
  4. Step 4: Simplify right side
    1,341.32x = 838,697.11
  5. Step 5: Solve for x
    x = 838,697.11/1,341.32
  6. Step 6: Final answer
    x = 625.28

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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.