Home / 1,532.20-2,114.48-869.02

Finding the Fourth Proportional to 1,532.20, 2,114.48 and 869.02

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Solution

The fourth proportional to 1,532.20, 2,114.48 and 869.02 is: 1,199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.20 : 2,114.48 = 869.02 : x
  2. Step 2: Convert to fraction form
    1,532.20/2,114.48 = 869.02/x
  3. Step 3: Cross multiply
    1,532.20x = 2,114.48 × 869.02
  4. Step 4: Simplify right side
    1,532.20x = 1,837,525.41
  5. Step 5: Solve for x
    x = 1,837,525.41/1,532.20
  6. Step 6: Final answer
    x = 1,199.27

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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.