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Finding the Fourth Proportional to 2,453.08, 3,670.98 and 1,709.08

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Solution

The fourth proportional to 2,453.08, 3,670.98 and 1,709.08 is: 2,557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.08 : 3,670.98 = 1,709.08 : x
  2. Step 2: Convert to fraction form
    2,453.08/3,670.98 = 1,709.08/x
  3. Step 3: Cross multiply
    2,453.08x = 3,670.98 × 1,709.08
  4. Step 4: Simplify right side
    2,453.08x = 6,273,998.50
  5. Step 5: Solve for x
    x = 6,273,998.50/2,453.08
  6. Step 6: Final answer
    x = 2,557.60

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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.