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Finding the Fourth Proportional to 2,058.97, 3,088.46 and 598.16

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Solution

The fourth proportional to 2,058.97, 3,088.46 and 598.16 is: 897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.97 : 3,088.46 = 598.16 : x
  2. Step 2: Convert to fraction form
    2,058.97/3,088.46 = 598.16/x
  3. Step 3: Cross multiply
    2,058.97x = 3,088.46 × 598.16
  4. Step 4: Simplify right side
    2,058.97x = 1,847,390.24
  5. Step 5: Solve for x
    x = 1,847,390.24/2,058.97
  6. Step 6: Final answer
    x = 897.24

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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.