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Finding the Fourth Proportional to 1,700.48, 2,552.16 and 835.52

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Solution

The fourth proportional to 1,700.48, 2,552.16 and 835.52 is: 1,253.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.48 : 2,552.16 = 835.52 : x
  2. Step 2: Convert to fraction form
    1,700.48/2,552.16 = 835.52/x
  3. Step 3: Cross multiply
    1,700.48x = 2,552.16 × 835.52
  4. Step 4: Simplify right side
    1,700.48x = 2,132,380.72
  5. Step 5: Solve for x
    x = 2,132,380.72/1,700.48
  6. Step 6: Final answer
    x = 1,253.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.