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Finding the Fourth Proportional to 1,335.76, 2,014.78 and 1,175.44

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Solution

The fourth proportional to 1,335.76, 2,014.78 and 1,175.44 is: 1,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.76 : 2,014.78 = 1,175.44 : x
  2. Step 2: Convert to fraction form
    1,335.76/2,014.78 = 1,175.44/x
  3. Step 3: Cross multiply
    1,335.76x = 2,014.78 × 1,175.44
  4. Step 4: Simplify right side
    1,335.76x = 2,368,253.00
  5. Step 5: Solve for x
    x = 2,368,253.00/1,335.76
  6. Step 6: Final answer
    x = 1,772.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.