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Finding the Fourth Proportional to 2,312.08, 3,188.56 and 1,808

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Solution

The fourth proportional to 2,312.08, 3,188.56 and 1,808 is: 2,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.08 : 3,188.56 = 1,808 : x
  2. Step 2: Convert to fraction form
    2,312.08/3,188.56 = 1,808/x
  3. Step 3: Cross multiply
    2,312.08x = 3,188.56 × 1,808
  4. Step 4: Simplify right side
    2,312.08x = 5,764,916.48
  5. Step 5: Solve for x
    x = 5,764,916.48/2,312.08
  6. Step 6: Final answer
    x = 2,493.39

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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.