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Finding the Fourth Proportional to 2,875.73, 4,313.43 and 795.75

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Solution

The fourth proportional to 2,875.73, 4,313.43 and 795.75 is: 1,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.73 : 4,313.43 = 795.75 : x
  2. Step 2: Convert to fraction form
    2,875.73/4,313.43 = 795.75/x
  3. Step 3: Cross multiply
    2,875.73x = 4,313.43 × 795.75
  4. Step 4: Simplify right side
    2,875.73x = 3,432,411.92
  5. Step 5: Solve for x
    x = 3,432,411.92/2,875.73
  6. Step 6: Final answer
    x = 1,193.58

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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.