Home / 1,420.08-1,961.46-1,026.48

Finding the Fourth Proportional to 1,420.08, 1,961.46 and 1,026.48

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Solution

The fourth proportional to 1,420.08, 1,961.46 and 1,026.48 is: 1,417.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.08 : 1,961.46 = 1,026.48 : x
  2. Step 2: Convert to fraction form
    1,420.08/1,961.46 = 1,026.48/x
  3. Step 3: Cross multiply
    1,420.08x = 1,961.46 × 1,026.48
  4. Step 4: Simplify right side
    1,420.08x = 2,013,399.46
  5. Step 5: Solve for x
    x = 2,013,399.46/1,420.08
  6. Step 6: Final answer
    x = 1,417.81

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