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Finding the Fourth Proportional to 2,058.79, 3,088.70 and 597.96

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Solution

The fourth proportional to 2,058.79, 3,088.70 and 597.96 is: 897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.79 : 3,088.70 = 597.96 : x
  2. Step 2: Convert to fraction form
    2,058.79/3,088.70 = 597.96/x
  3. Step 3: Cross multiply
    2,058.79x = 3,088.70 × 597.96
  4. Step 4: Simplify right side
    2,058.79x = 1,846,919.05
  5. Step 5: Solve for x
    x = 1,846,919.05/2,058.79
  6. Step 6: Final answer
    x = 897.09

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Why These Related Problems?

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