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Finding the Fourth Proportional to 1,776.68, 2,451.12 and 1,187.60

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Solution

The fourth proportional to 1,776.68, 2,451.12 and 1,187.60 is: 1,638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.68 : 2,451.12 = 1,187.60 : x
  2. Step 2: Convert to fraction form
    1,776.68/2,451.12 = 1,187.60/x
  3. Step 3: Cross multiply
    1,776.68x = 2,451.12 × 1,187.60
  4. Step 4: Simplify right side
    1,776.68x = 2,910,950.11
  5. Step 5: Solve for x
    x = 2,910,950.11/1,776.68
  6. Step 6: Final answer
    x = 1,638.42

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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.