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Finding the Fourth Proportional to 2,058.41, 3,088.10 and 597.52

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Solution

The fourth proportional to 2,058.41, 3,088.10 and 597.52 is: 896.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.41 : 3,088.10 = 597.52 : x
  2. Step 2: Convert to fraction form
    2,058.41/3,088.10 = 597.52/x
  3. Step 3: Cross multiply
    2,058.41x = 3,088.10 × 597.52
  4. Step 4: Simplify right side
    2,058.41x = 1,845,190.80
  5. Step 5: Solve for x
    x = 1,845,190.80/2,058.41
  6. Step 6: Final answer
    x = 896.41

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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.