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Finding the Fourth Proportional to 1,873.78, 2,586 and 1,034.67

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Solution

The fourth proportional to 1,873.78, 2,586 and 1,034.67 is: 1,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.78 : 2,586 = 1,034.67 : x
  2. Step 2: Convert to fraction form
    1,873.78/2,586 = 1,034.67/x
  3. Step 3: Cross multiply
    1,873.78x = 2,586 × 1,034.67
  4. Step 4: Simplify right side
    1,873.78x = 2,675,656.62
  5. Step 5: Solve for x
    x = 2,675,656.62/1,873.78
  6. Step 6: Final answer
    x = 1,427.95

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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.