Home / 1,652.19-2,478.28-1,542.84

Finding the Fourth Proportional to 1,652.19, 2,478.28 and 1,542.84

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Solution

The fourth proportional to 1,652.19, 2,478.28 and 1,542.84 is: 2,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.19 : 2,478.28 = 1,542.84 : x
  2. Step 2: Convert to fraction form
    1,652.19/2,478.28 = 1,542.84/x
  3. Step 3: Cross multiply
    1,652.19x = 2,478.28 × 1,542.84
  4. Step 4: Simplify right side
    1,652.19x = 3,823,589.52
  5. Step 5: Solve for x
    x = 3,823,589.52/1,652.19
  6. Step 6: Final answer
    x = 2,314.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.