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Finding the Fourth Proportional to 2,058.34, 2,840.52 and 1,126.84

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Solution

The fourth proportional to 2,058.34, 2,840.52 and 1,126.84 is: 1,555.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.34 : 2,840.52 = 1,126.84 : x
  2. Step 2: Convert to fraction form
    2,058.34/2,840.52 = 1,126.84/x
  3. Step 3: Cross multiply
    2,058.34x = 2,840.52 × 1,126.84
  4. Step 4: Simplify right side
    2,058.34x = 3,200,811.56
  5. Step 5: Solve for x
    x = 3,200,811.56/2,058.34
  6. Step 6: Final answer
    x = 1,555.05

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