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Finding the Fourth Proportional to 2,058.95, 2,840.91 and 1,219.92

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Solution

The fourth proportional to 2,058.95, 2,840.91 and 1,219.92 is: 1,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.95 : 2,840.91 = 1,219.92 : x
  2. Step 2: Convert to fraction form
    2,058.95/2,840.91 = 1,219.92/x
  3. Step 3: Cross multiply
    2,058.95x = 2,840.91 × 1,219.92
  4. Step 4: Simplify right side
    2,058.95x = 3,465,668.72
  5. Step 5: Solve for x
    x = 3,465,668.72/2,058.95
  6. Step 6: Final answer
    x = 1,683.22

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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.