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Finding the Fourth Proportional to 2,913.31, 4,370.65 and 833.35

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Solution

The fourth proportional to 2,913.31, 4,370.65 and 833.35 is: 1,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.31 : 4,370.65 = 833.35 : x
  2. Step 2: Convert to fraction form
    2,913.31/4,370.65 = 833.35/x
  3. Step 3: Cross multiply
    2,913.31x = 4,370.65 × 833.35
  4. Step 4: Simplify right side
    2,913.31x = 3,642,281.18
  5. Step 5: Solve for x
    x = 3,642,281.18/2,913.31
  6. Step 6: Final answer
    x = 1,250.22

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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.