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Finding the Fourth Proportional to 2,338.18, 3,506.83 and 877.02

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Solution

The fourth proportional to 2,338.18, 3,506.83 and 877.02 is: 1,315.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.18 : 3,506.83 = 877.02 : x
  2. Step 2: Convert to fraction form
    2,338.18/3,506.83 = 877.02/x
  3. Step 3: Cross multiply
    2,338.18x = 3,506.83 × 877.02
  4. Step 4: Simplify right side
    2,338.18x = 3,075,560.05
  5. Step 5: Solve for x
    x = 3,075,560.05/2,338.18
  6. Step 6: Final answer
    x = 1,315.36

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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.