Home / 2,046.04-2,823.24-1,207

Finding the Fourth Proportional to 2,046.04, 2,823.24 and 1,207

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Solution

The fourth proportional to 2,046.04, 2,823.24 and 1,207 is: 1,665.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.04 : 2,823.24 = 1,207 : x
  2. Step 2: Convert to fraction form
    2,046.04/2,823.24 = 1,207/x
  3. Step 3: Cross multiply
    2,046.04x = 2,823.24 × 1,207
  4. Step 4: Simplify right side
    2,046.04x = 3,407,650.68
  5. Step 5: Solve for x
    x = 3,407,650.68/2,046.04
  6. Step 6: Final answer
    x = 1,665.49

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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.