Home / 1,652.31-2,282.19-1,203.46

Finding the Fourth Proportional to 1,652.31, 2,282.19 and 1,203.46

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Solution

The fourth proportional to 1,652.31, 2,282.19 and 1,203.46 is: 1,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.31 : 2,282.19 = 1,203.46 : x
  2. Step 2: Convert to fraction form
    1,652.31/2,282.19 = 1,203.46/x
  3. Step 3: Cross multiply
    1,652.31x = 2,282.19 × 1,203.46
  4. Step 4: Simplify right side
    1,652.31x = 2,746,514.16
  5. Step 5: Solve for x
    x = 2,746,514.16/1,652.31
  6. Step 6: Final answer
    x = 1,662.23

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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.