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Finding the Fourth Proportional to 1,873.82, 2,585.84 and 1,034.51

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Solution

The fourth proportional to 1,873.82, 2,585.84 and 1,034.51 is: 1,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.82 : 2,585.84 = 1,034.51 : x
  2. Step 2: Convert to fraction form
    1,873.82/2,585.84 = 1,034.51/x
  3. Step 3: Cross multiply
    1,873.82x = 2,585.84 × 1,034.51
  4. Step 4: Simplify right side
    1,873.82x = 2,675,078.63
  5. Step 5: Solve for x
    x = 2,675,078.63/1,873.82
  6. Step 6: Final answer
    x = 1,427.61

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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.