Home / 1,646.44-2,272.30-947.82

Finding the Fourth Proportional to 1,646.44, 2,272.30 and 947.82

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Solution

The fourth proportional to 1,646.44, 2,272.30 and 947.82 is: 1,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.44 : 2,272.30 = 947.82 : x
  2. Step 2: Convert to fraction form
    1,646.44/2,272.30 = 947.82/x
  3. Step 3: Cross multiply
    1,646.44x = 2,272.30 × 947.82
  4. Step 4: Simplify right side
    1,646.44x = 2,153,731.39
  5. Step 5: Solve for x
    x = 2,153,731.39/1,646.44
  6. Step 6: Final answer
    x = 1,308.11

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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.