Home / 1,471.29-2,030.35-808.14

Finding the Fourth Proportional to 1,471.29, 2,030.35 and 808.14

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Solution

The fourth proportional to 1,471.29, 2,030.35 and 808.14 is: 1,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.29 : 2,030.35 = 808.14 : x
  2. Step 2: Convert to fraction form
    1,471.29/2,030.35 = 808.14/x
  3. Step 3: Cross multiply
    1,471.29x = 2,030.35 × 808.14
  4. Step 4: Simplify right side
    1,471.29x = 1,640,807.05
  5. Step 5: Solve for x
    x = 1,640,807.05/1,471.29
  6. Step 6: Final answer
    x = 1,115.22

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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.