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Finding the Fourth Proportional to 1,808.29, 2,495.85 and 1,177.72

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Solution

The fourth proportional to 1,808.29, 2,495.85 and 1,177.72 is: 1,625.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.29 : 2,495.85 = 1,177.72 : x
  2. Step 2: Convert to fraction form
    1,808.29/2,495.85 = 1,177.72/x
  3. Step 3: Cross multiply
    1,808.29x = 2,495.85 × 1,177.72
  4. Step 4: Simplify right side
    1,808.29x = 2,939,406.22
  5. Step 5: Solve for x
    x = 2,939,406.22/1,808.29
  6. Step 6: Final answer
    x = 1,625.52

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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.