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Finding the Fourth Proportional to 1,873.86, 2,585.93 and 1,034.54

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Solution

The fourth proportional to 1,873.86, 2,585.93 and 1,034.54 is: 1,427.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.86 : 2,585.93 = 1,034.54 : x
  2. Step 2: Convert to fraction form
    1,873.86/2,585.93 = 1,034.54/x
  3. Step 3: Cross multiply
    1,873.86x = 2,585.93 × 1,034.54
  4. Step 4: Simplify right side
    1,873.86x = 2,675,260.95
  5. Step 5: Solve for x
    x = 2,675,260.95/1,873.86
  6. Step 6: Final answer
    x = 1,427.68

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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.