Home / 1,542.41-2,314.52-569.19

Finding the Fourth Proportional to 1,542.41, 2,314.52 and 569.19

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Solution

The fourth proportional to 1,542.41, 2,314.52 and 569.19 is: 854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.41 : 2,314.52 = 569.19 : x
  2. Step 2: Convert to fraction form
    1,542.41/2,314.52 = 569.19/x
  3. Step 3: Cross multiply
    1,542.41x = 2,314.52 × 569.19
  4. Step 4: Simplify right side
    1,542.41x = 1,317,403.06
  5. Step 5: Solve for x
    x = 1,317,403.06/1,542.41
  6. Step 6: Final answer
    x = 854.12

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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.