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Finding the Fourth Proportional to 2,058.71, 3,088.46 and 1,695.02

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Solution

The fourth proportional to 2,058.71, 3,088.46 and 1,695.02 is: 2,542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.71 : 3,088.46 = 1,695.02 : x
  2. Step 2: Convert to fraction form
    2,058.71/3,088.46 = 1,695.02/x
  3. Step 3: Cross multiply
    2,058.71x = 3,088.46 × 1,695.02
  4. Step 4: Simplify right side
    2,058.71x = 5,234,990.26
  5. Step 5: Solve for x
    x = 5,234,990.26/2,058.71
  6. Step 6: Final answer
    x = 2,542.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.