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Finding the Fourth Proportional to 2,292.03, 3,435.75 and 830.79

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Solution

The fourth proportional to 2,292.03, 3,435.75 and 830.79 is: 1,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.03 : 3,435.75 = 830.79 : x
  2. Step 2: Convert to fraction form
    2,292.03/3,435.75 = 830.79/x
  3. Step 3: Cross multiply
    2,292.03x = 3,435.75 × 830.79
  4. Step 4: Simplify right side
    2,292.03x = 2,854,386.74
  5. Step 5: Solve for x
    x = 2,854,386.74/2,292.03
  6. Step 6: Final answer
    x = 1,245.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.