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Finding the Fourth Proportional to 2,337.83, 3,507.11 and 877.09

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Solution

The fourth proportional to 2,337.83, 3,507.11 and 877.09 is: 1,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.83 : 3,507.11 = 877.09 : x
  2. Step 2: Convert to fraction form
    2,337.83/3,507.11 = 877.09/x
  3. Step 3: Cross multiply
    2,337.83x = 3,507.11 × 877.09
  4. Step 4: Simplify right side
    2,337.83x = 3,076,029.19
  5. Step 5: Solve for x
    x = 3,076,029.19/2,337.83
  6. Step 6: Final answer
    x = 1,315.77

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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.