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Finding the Fourth Proportional to 2,658.11, 3,666.32 and 2,303.39

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Solution

The fourth proportional to 2,658.11, 3,666.32 and 2,303.39 is: 3,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.11 : 3,666.32 = 2,303.39 : x
  2. Step 2: Convert to fraction form
    2,658.11/3,666.32 = 2,303.39/x
  3. Step 3: Cross multiply
    2,658.11x = 3,666.32 × 2,303.39
  4. Step 4: Simplify right side
    2,658.11x = 8,444,962.47
  5. Step 5: Solve for x
    x = 8,444,962.47/2,658.11
  6. Step 6: Final answer
    x = 3,177.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.