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Finding the Fourth Proportional to 1,850.94, 2,552.13 and 1,536.57

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Solution

The fourth proportional to 1,850.94, 2,552.13 and 1,536.57 is: 2,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.94 : 2,552.13 = 1,536.57 : x
  2. Step 2: Convert to fraction form
    1,850.94/2,552.13 = 1,536.57/x
  3. Step 3: Cross multiply
    1,850.94x = 2,552.13 × 1,536.57
  4. Step 4: Simplify right side
    1,850.94x = 3,921,526.39
  5. Step 5: Solve for x
    x = 3,921,526.39/1,850.94
  6. Step 6: Final answer
    x = 2,118.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.