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Finding the Fourth Proportional to 2,058.92, 2,840.59 and 1,429.28

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Solution

The fourth proportional to 2,058.92, 2,840.59 and 1,429.28 is: 1,971.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.92 : 2,840.59 = 1,429.28 : x
  2. Step 2: Convert to fraction form
    2,058.92/2,840.59 = 1,429.28/x
  3. Step 3: Cross multiply
    2,058.92x = 2,840.59 × 1,429.28
  4. Step 4: Simplify right side
    2,058.92x = 4,060,009.15
  5. Step 5: Solve for x
    x = 4,060,009.15/2,058.92
  6. Step 6: Final answer
    x = 1,971.91

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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.