Home / 1,465.09-2,196.32-540.42

Finding the Fourth Proportional to 1,465.09, 2,196.32 and 540.42

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Solution

The fourth proportional to 1,465.09, 2,196.32 and 540.42 is: 810.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.09 : 2,196.32 = 540.42 : x
  2. Step 2: Convert to fraction form
    1,465.09/2,196.32 = 540.42/x
  3. Step 3: Cross multiply
    1,465.09x = 2,196.32 × 540.42
  4. Step 4: Simplify right side
    1,465.09x = 1,186,935.25
  5. Step 5: Solve for x
    x = 1,186,935.25/1,465.09
  6. Step 6: Final answer
    x = 810.14

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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.