Home / 1,584.36-2,365.00-1,454.36

Finding the Fourth Proportional to 1,584.36, 2,365.00 and 1,454.36

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Solution

The fourth proportional to 1,584.36, 2,365.00 and 1,454.36 is: 2,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,365.00 = 1,454.36 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,365.00 = 1,454.36/x
  3. Step 3: Cross multiply
    1,584.36x = 2,365.00 × 1,454.36
  4. Step 4: Simplify right side
    1,584.36x = 3,439,545.94
  5. Step 5: Solve for x
    x = 3,439,545.94/1,584.36
  6. Step 6: Final answer
    x = 2,170.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.