Home / 1,431.24-1,975.14-810.12

Finding the Fourth Proportional to 1,431.24, 1,975.14 and 810.12

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Solution

The fourth proportional to 1,431.24, 1,975.14 and 810.12 is: 1,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.24 : 1,975.14 = 810.12 : x
  2. Step 2: Convert to fraction form
    1,431.24/1,975.14 = 810.12/x
  3. Step 3: Cross multiply
    1,431.24x = 1,975.14 × 810.12
  4. Step 4: Simplify right side
    1,431.24x = 1,600,100.42
  5. Step 5: Solve for x
    x = 1,600,100.42/1,431.24
  6. Step 6: Final answer
    x = 1,117.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.