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Finding the Fourth Proportional to 1,764.95, 2,434.55 and 1,167.44

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Solution

The fourth proportional to 1,764.95, 2,434.55 and 1,167.44 is: 1,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.95 : 2,434.55 = 1,167.44 : x
  2. Step 2: Convert to fraction form
    1,764.95/2,434.55 = 1,167.44/x
  3. Step 3: Cross multiply
    1,764.95x = 2,434.55 × 1,167.44
  4. Step 4: Simplify right side
    1,764.95x = 2,842,173.04
  5. Step 5: Solve for x
    x = 2,842,173.04/1,764.95
  6. Step 6: Final answer
    x = 1,610.35

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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.