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Finding the Fourth Proportional to 2,697.16, 3,719.64 and 2,509.96

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Solution

The fourth proportional to 2,697.16, 3,719.64 and 2,509.96 is: 3,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.16 : 3,719.64 = 2,509.96 : x
  2. Step 2: Convert to fraction form
    2,697.16/3,719.64 = 2,509.96/x
  3. Step 3: Cross multiply
    2,697.16x = 3,719.64 × 2,509.96
  4. Step 4: Simplify right side
    2,697.16x = 9,336,147.61
  5. Step 5: Solve for x
    x = 9,336,147.61/2,697.16
  6. Step 6: Final answer
    x = 3,461.47

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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.