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Finding the Fourth Proportional to 2,825.18, 4,237.70 and 877.37

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Solution

The fourth proportional to 2,825.18, 4,237.70 and 877.37 is: 1,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.18 : 4,237.70 = 877.37 : x
  2. Step 2: Convert to fraction form
    2,825.18/4,237.70 = 877.37/x
  3. Step 3: Cross multiply
    2,825.18x = 4,237.70 × 877.37
  4. Step 4: Simplify right side
    2,825.18x = 3,718,030.85
  5. Step 5: Solve for x
    x = 3,718,030.85/2,825.18
  6. Step 6: Final answer
    x = 1,316.04

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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.