Home / 1,761.24-2,637-1,411.32

Finding the Fourth Proportional to 1,761.24, 2,637 and 1,411.32

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Solution

The fourth proportional to 1,761.24, 2,637 and 1,411.32 is: 2,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.24 : 2,637 = 1,411.32 : x
  2. Step 2: Convert to fraction form
    1,761.24/2,637 = 1,411.32/x
  3. Step 3: Cross multiply
    1,761.24x = 2,637 × 1,411.32
  4. Step 4: Simplify right side
    1,761.24x = 3,721,650.84
  5. Step 5: Solve for x
    x = 3,721,650.84/1,761.24
  6. Step 6: Final answer
    x = 2,113.09

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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.