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Finding the Fourth Proportional to 2,058.90, 3,088.40 and 598.07

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Solution

The fourth proportional to 2,058.90, 3,088.40 and 598.07 is: 897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.90 : 3,088.40 = 598.07 : x
  2. Step 2: Convert to fraction form
    2,058.90/3,088.40 = 598.07/x
  3. Step 3: Cross multiply
    2,058.90x = 3,088.40 × 598.07
  4. Step 4: Simplify right side
    2,058.90x = 1,847,063.95
  5. Step 5: Solve for x
    x = 1,847,063.95/2,058.90
  6. Step 6: Final answer
    x = 897.11

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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.