Home / 1,583.26-2,360.46-1,542.82

Finding the Fourth Proportional to 1,583.26, 2,360.46 and 1,542.82

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Solution

The fourth proportional to 1,583.26, 2,360.46 and 1,542.82 is: 2,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.26 : 2,360.46 = 1,542.82 : x
  2. Step 2: Convert to fraction form
    1,583.26/2,360.46 = 1,542.82/x
  3. Step 3: Cross multiply
    1,583.26x = 2,360.46 × 1,542.82
  4. Step 4: Simplify right side
    1,583.26x = 3,641,756.19
  5. Step 5: Solve for x
    x = 3,641,756.19/1,583.26
  6. Step 6: Final answer
    x = 2,300.17

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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.