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Finding the Fourth Proportional to 2,058.59, 3,088.18 and 597.85

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Solution

The fourth proportional to 2,058.59, 3,088.18 and 597.85 is: 896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.59 : 3,088.18 = 597.85 : x
  2. Step 2: Convert to fraction form
    2,058.59/3,088.18 = 597.85/x
  3. Step 3: Cross multiply
    2,058.59x = 3,088.18 × 597.85
  4. Step 4: Simplify right side
    2,058.59x = 1,846,273.02
  5. Step 5: Solve for x
    x = 1,846,273.02/2,058.59
  6. Step 6: Final answer
    x = 896.87

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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.