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Finding the Fourth Proportional to 1,715.84, 2,574.04 and 850.16

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Solution

The fourth proportional to 1,715.84, 2,574.04 and 850.16 is: 1,275.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.84 : 2,574.04 = 850.16 : x
  2. Step 2: Convert to fraction form
    1,715.84/2,574.04 = 850.16/x
  3. Step 3: Cross multiply
    1,715.84x = 2,574.04 × 850.16
  4. Step 4: Simplify right side
    1,715.84x = 2,188,345.85
  5. Step 5: Solve for x
    x = 2,188,345.85/1,715.84
  6. Step 6: Final answer
    x = 1,275.38

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Why These Related Problems?

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