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Finding the Fourth Proportional to 2,607.76, 3,904.80 and 2,193.76

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Solution

The fourth proportional to 2,607.76, 3,904.80 and 2,193.76 is: 3,284.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.76 : 3,904.80 = 2,193.76 : x
  2. Step 2: Convert to fraction form
    2,607.76/3,904.80 = 2,193.76/x
  3. Step 3: Cross multiply
    2,607.76x = 3,904.80 × 2,193.76
  4. Step 4: Simplify right side
    2,607.76x = 8,566,194.05
  5. Step 5: Solve for x
    x = 8,566,194.05/2,607.76
  6. Step 6: Final answer
    x = 3,284.89

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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.