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Finding the Fourth Proportional to 2,876.72, 3,970.01 and 1,697.76

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Solution

The fourth proportional to 2,876.72, 3,970.01 and 1,697.76 is: 2,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.72 : 3,970.01 = 1,697.76 : x
  2. Step 2: Convert to fraction form
    2,876.72/3,970.01 = 1,697.76/x
  3. Step 3: Cross multiply
    2,876.72x = 3,970.01 × 1,697.76
  4. Step 4: Simplify right side
    2,876.72x = 6,740,128.42
  5. Step 5: Solve for x
    x = 6,740,128.42/2,876.72
  6. Step 6: Final answer
    x = 2,342.99

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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.