Home / 1,532.11-2,114.16-869.14

Finding the Fourth Proportional to 1,532.11, 2,114.16 and 869.14

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Solution

The fourth proportional to 1,532.11, 2,114.16 and 869.14 is: 1,199.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.11 : 2,114.16 = 869.14 : x
  2. Step 2: Convert to fraction form
    1,532.11/2,114.16 = 869.14/x
  3. Step 3: Cross multiply
    1,532.11x = 2,114.16 × 869.14
  4. Step 4: Simplify right side
    1,532.11x = 1,837,501.02
  5. Step 5: Solve for x
    x = 1,837,501.02/1,532.11
  6. Step 6: Final answer
    x = 1,199.33

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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.