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Finding the Fourth Proportional to 1,361.86, 2,041.20 and 842.00

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Solution

The fourth proportional to 1,361.86, 2,041.20 and 842.00 is: 1,262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.86 : 2,041.20 = 842.00 : x
  2. Step 2: Convert to fraction form
    1,361.86/2,041.20 = 842.00/x
  3. Step 3: Cross multiply
    1,361.86x = 2,041.20 × 842.00
  4. Step 4: Simplify right side
    1,361.86x = 1,718,680.19
  5. Step 5: Solve for x
    x = 1,718,680.19/1,361.86
  6. Step 6: Final answer
    x = 1,262.01

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Why These Related Problems?

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