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Finding the Fourth Proportional to 2,058.98, 3,102.81 and 1,864.13

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Solution

The fourth proportional to 2,058.98, 3,102.81 and 1,864.13 is: 2,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.98 : 3,102.81 = 1,864.13 : x
  2. Step 2: Convert to fraction form
    2,058.98/3,102.81 = 1,864.13/x
  3. Step 3: Cross multiply
    2,058.98x = 3,102.81 × 1,864.13
  4. Step 4: Simplify right side
    2,058.98x = 5,784,041.21
  5. Step 5: Solve for x
    x = 5,784,041.21/2,058.98
  6. Step 6: Final answer
    x = 2,809.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.