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Finding the Fourth Proportional to 1,552.52, 2,140.02 and 1,521.80

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Solution

The fourth proportional to 1,552.52, 2,140.02 and 1,521.80 is: 2,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.52 : 2,140.02 = 1,521.80 : x
  2. Step 2: Convert to fraction form
    1,552.52/2,140.02 = 1,521.80/x
  3. Step 3: Cross multiply
    1,552.52x = 2,140.02 × 1,521.80
  4. Step 4: Simplify right side
    1,552.52x = 3,256,682.44
  5. Step 5: Solve for x
    x = 3,256,682.44/1,552.52
  6. Step 6: Final answer
    x = 2,097.68

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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.