Home / 1,532.16-2,114.30-869.02

Finding the Fourth Proportional to 1,532.16, 2,114.30 and 869.02

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Solution

The fourth proportional to 1,532.16, 2,114.30 and 869.02 is: 1,199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.16 : 2,114.30 = 869.02 : x
  2. Step 2: Convert to fraction form
    1,532.16/2,114.30 = 869.02/x
  3. Step 3: Cross multiply
    1,532.16x = 2,114.30 × 869.02
  4. Step 4: Simplify right side
    1,532.16x = 1,837,368.99
  5. Step 5: Solve for x
    x = 1,837,368.99/1,532.16
  6. Step 6: Final answer
    x = 1,199.20

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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.