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Finding the Fourth Proportional to 2,338.16, 3,507.09 and 877.19

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Solution

The fourth proportional to 2,338.16, 3,507.09 and 877.19 is: 1,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.16 : 3,507.09 = 877.19 : x
  2. Step 2: Convert to fraction form
    2,338.16/3,507.09 = 877.19/x
  3. Step 3: Cross multiply
    2,338.16x = 3,507.09 × 877.19
  4. Step 4: Simplify right side
    2,338.16x = 3,076,384.28
  5. Step 5: Solve for x
    x = 3,076,384.28/2,338.16
  6. Step 6: Final answer
    x = 1,315.73

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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.