Home / 1,471.60-2,029.75-947.13

Finding the Fourth Proportional to 1,471.60, 2,029.75 and 947.13

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Solution

The fourth proportional to 1,471.60, 2,029.75 and 947.13 is: 1,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.60 : 2,029.75 = 947.13 : x
  2. Step 2: Convert to fraction form
    1,471.60/2,029.75 = 947.13/x
  3. Step 3: Cross multiply
    1,471.60x = 2,029.75 × 947.13
  4. Step 4: Simplify right side
    1,471.60x = 1,922,437.12
  5. Step 5: Solve for x
    x = 1,922,437.12/1,471.60
  6. Step 6: Final answer
    x = 1,306.36

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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.