Home / 1,567.80-2,352.16-942.94

Finding the Fourth Proportional to 1,567.80, 2,352.16 and 942.94

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Solution

The fourth proportional to 1,567.80, 2,352.16 and 942.94 is: 1,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.80 : 2,352.16 = 942.94 : x
  2. Step 2: Convert to fraction form
    1,567.80/2,352.16 = 942.94/x
  3. Step 3: Cross multiply
    1,567.80x = 2,352.16 × 942.94
  4. Step 4: Simplify right side
    1,567.80x = 2,217,945.75
  5. Step 5: Solve for x
    x = 2,217,945.75/1,567.80
  6. Step 6: Final answer
    x = 1,414.69

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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.