Home / 1,648.08-2,273.40-1,026

Finding the Fourth Proportional to 1,648.08, 2,273.40 and 1,026

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Solution

The fourth proportional to 1,648.08, 2,273.40 and 1,026 is: 1,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.08 : 2,273.40 = 1,026 : x
  2. Step 2: Convert to fraction form
    1,648.08/2,273.40 = 1,026/x
  3. Step 3: Cross multiply
    1,648.08x = 2,273.40 × 1,026
  4. Step 4: Simplify right side
    1,648.08x = 2,332,508.40
  5. Step 5: Solve for x
    x = 2,332,508.40/1,648.08
  6. Step 6: Final answer
    x = 1,415.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.