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Finding the Fourth Proportional to 2,058.44, 3,088.08 and 597.56

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Solution

The fourth proportional to 2,058.44, 3,088.08 and 597.56 is: 896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.44 : 3,088.08 = 597.56 : x
  2. Step 2: Convert to fraction form
    2,058.44/3,088.08 = 597.56/x
  3. Step 3: Cross multiply
    2,058.44x = 3,088.08 × 597.56
  4. Step 4: Simplify right side
    2,058.44x = 1,845,313.08
  5. Step 5: Solve for x
    x = 1,845,313.08/2,058.44
  6. Step 6: Final answer
    x = 896.46

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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.