Home / 1,471.07-2,028.98-946.19

Finding the Fourth Proportional to 1,471.07, 2,028.98 and 946.19

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Solution

The fourth proportional to 1,471.07, 2,028.98 and 946.19 is: 1,305.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.07 : 2,028.98 = 946.19 : x
  2. Step 2: Convert to fraction form
    1,471.07/2,028.98 = 946.19/x
  3. Step 3: Cross multiply
    1,471.07x = 2,028.98 × 946.19
  4. Step 4: Simplify right side
    1,471.07x = 1,919,785.71
  5. Step 5: Solve for x
    x = 1,919,785.71/1,471.07
  6. Step 6: Final answer
    x = 1,305.03

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1.5x scale

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.