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Finding the Fourth Proportional to 2,824.07, 4,236.50 and 875.81

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Solution

The fourth proportional to 2,824.07, 4,236.50 and 875.81 is: 1,313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.07 : 4,236.50 = 875.81 : x
  2. Step 2: Convert to fraction form
    2,824.07/4,236.50 = 875.81/x
  3. Step 3: Cross multiply
    2,824.07x = 4,236.50 × 875.81
  4. Step 4: Simplify right side
    2,824.07x = 3,710,381.85
  5. Step 5: Solve for x
    x = 3,710,381.85/2,824.07
  6. Step 6: Final answer
    x = 1,313.84

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