Home / 1,532.06-2,098.34-1,442.26

Finding the Fourth Proportional to 1,532.06, 2,098.34 and 1,442.26

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Solution

The fourth proportional to 1,532.06, 2,098.34 and 1,442.26 is: 1,975.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.06 : 2,098.34 = 1,442.26 : x
  2. Step 2: Convert to fraction form
    1,532.06/2,098.34 = 1,442.26/x
  3. Step 3: Cross multiply
    1,532.06x = 2,098.34 × 1,442.26
  4. Step 4: Simplify right side
    1,532.06x = 3,026,351.85
  5. Step 5: Solve for x
    x = 3,026,351.85/1,532.06
  6. Step 6: Final answer
    x = 1,975.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.