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Finding the Fourth Proportional to 2,058.64, 2,842.24 and 1,351.74

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Solution

The fourth proportional to 2,058.64, 2,842.24 and 1,351.74 is: 1,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.64 : 2,842.24 = 1,351.74 : x
  2. Step 2: Convert to fraction form
    2,058.64/2,842.24 = 1,351.74/x
  3. Step 3: Cross multiply
    2,058.64x = 2,842.24 × 1,351.74
  4. Step 4: Simplify right side
    2,058.64x = 3,841,968.08
  5. Step 5: Solve for x
    x = 3,841,968.08/2,058.64
  6. Step 6: Final answer
    x = 1,866.26

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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.