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Finding the Fourth Proportional to 2,875.38, 4,313.10 and 795.50

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Solution

The fourth proportional to 2,875.38, 4,313.10 and 795.50 is: 1,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.38 : 4,313.10 = 795.50 : x
  2. Step 2: Convert to fraction form
    2,875.38/4,313.10 = 795.50/x
  3. Step 3: Cross multiply
    2,875.38x = 4,313.10 × 795.50
  4. Step 4: Simplify right side
    2,875.38x = 3,431,071.05
  5. Step 5: Solve for x
    x = 3,431,071.05/2,875.38
  6. Step 6: Final answer
    x = 1,193.26

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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.