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Finding the Fourth Proportional to 2,338.12, 3,506.06 and 877.24

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Solution

The fourth proportional to 2,338.12, 3,506.06 and 877.24 is: 1,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.12 : 3,506.06 = 877.24 : x
  2. Step 2: Convert to fraction form
    2,338.12/3,506.06 = 877.24/x
  3. Step 3: Cross multiply
    2,338.12x = 3,506.06 × 877.24
  4. Step 4: Simplify right side
    2,338.12x = 3,075,656.07
  5. Step 5: Solve for x
    x = 3,075,656.07/2,338.12
  6. Step 6: Final answer
    x = 1,315.44

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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.