Home / 1,598.26-2,204.85-1,009.66

Finding the Fourth Proportional to 1,598.26, 2,204.85 and 1,009.66

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Solution

The fourth proportional to 1,598.26, 2,204.85 and 1,009.66 is: 1,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598.26 : 2,204.85 = 1,009.66 : x
  2. Step 2: Convert to fraction form
    1,598.26/2,204.85 = 1,009.66/x
  3. Step 3: Cross multiply
    1,598.26x = 2,204.85 × 1,009.66
  4. Step 4: Simplify right side
    1,598.26x = 2,226,148.85
  5. Step 5: Solve for x
    x = 2,226,148.85/1,598.26
  6. Step 6: Final answer
    x = 1,392.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.