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Finding the Fourth Proportional to 1,712.43, 2,552.16 and 1,709.69

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Solution

The fourth proportional to 1,712.43, 2,552.16 and 1,709.69 is: 2,548.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.43 : 2,552.16 = 1,709.69 : x
  2. Step 2: Convert to fraction form
    1,712.43/2,552.16 = 1,709.69/x
  3. Step 3: Cross multiply
    1,712.43x = 2,552.16 × 1,709.69
  4. Step 4: Simplify right side
    1,712.43x = 4,363,389.67
  5. Step 5: Solve for x
    x = 4,363,389.67/1,712.43
  6. Step 6: Final answer
    x = 2,548.07

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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.