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Finding the Fourth Proportional to 2,658.29, 3,666.57 and 2,303.58

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Solution

The fourth proportional to 2,658.29, 3,666.57 and 2,303.58 is: 3,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.29 : 3,666.57 = 2,303.58 : x
  2. Step 2: Convert to fraction form
    2,658.29/3,666.57 = 2,303.58/x
  3. Step 3: Cross multiply
    2,658.29x = 3,666.57 × 2,303.58
  4. Step 4: Simplify right side
    2,658.29x = 8,446,239.85
  5. Step 5: Solve for x
    x = 8,446,239.85/2,658.29
  6. Step 6: Final answer
    x = 3,177.32

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