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Finding the Fourth Proportional to 2,058.87, 3,088.76 and 598.13

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Solution

The fourth proportional to 2,058.87, 3,088.76 and 598.13 is: 897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.87 : 3,088.76 = 598.13 : x
  2. Step 2: Convert to fraction form
    2,058.87/3,088.76 = 598.13/x
  3. Step 3: Cross multiply
    2,058.87x = 3,088.76 × 598.13
  4. Step 4: Simplify right side
    2,058.87x = 1,847,492.22
  5. Step 5: Solve for x
    x = 1,847,492.22/2,058.87
  6. Step 6: Final answer
    x = 897.33

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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.