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Finding the Fourth Proportional to 1,760.34, 2,627.51 and 1,552.82

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Solution

The fourth proportional to 1,760.34, 2,627.51 and 1,552.82 is: 2,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.34 : 2,627.51 = 1,552.82 : x
  2. Step 2: Convert to fraction form
    1,760.34/2,627.51 = 1,552.82/x
  3. Step 3: Cross multiply
    1,760.34x = 2,627.51 × 1,552.82
  4. Step 4: Simplify right side
    1,760.34x = 4,080,029.18
  5. Step 5: Solve for x
    x = 4,080,029.18/1,760.34
  6. Step 6: Final answer
    x = 2,317.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.