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Finding the Fourth Proportional to 2,825.04, 4,237.70 and 876.99

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Solution

The fourth proportional to 2,825.04, 4,237.70 and 876.99 is: 1,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.04 : 4,237.70 = 876.99 : x
  2. Step 2: Convert to fraction form
    2,825.04/4,237.70 = 876.99/x
  3. Step 3: Cross multiply
    2,825.04x = 4,237.70 × 876.99
  4. Step 4: Simplify right side
    2,825.04x = 3,716,416.14
  5. Step 5: Solve for x
    x = 3,716,416.14/2,825.04
  6. Step 6: Final answer
    x = 1,315.53

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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.