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Finding the Fourth Proportional to 1,426.40, 2,140.40 and 561.32

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Solution

The fourth proportional to 1,426.40, 2,140.40 and 561.32 is: 842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.40 : 2,140.40 = 561.32 : x
  2. Step 2: Convert to fraction form
    1,426.40/2,140.40 = 561.32/x
  3. Step 3: Cross multiply
    1,426.40x = 2,140.40 × 561.32
  4. Step 4: Simplify right side
    1,426.40x = 1,201,435.82
  5. Step 5: Solve for x
    x = 1,201,435.82/1,426.40
  6. Step 6: Final answer
    x = 842.29

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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.