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Finding the Fourth Proportional to 1,607.55, 2,410.26 and 1,058.06

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Solution

The fourth proportional to 1,607.55, 2,410.26 and 1,058.06 is: 1,586.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.55 : 2,410.26 = 1,058.06 : x
  2. Step 2: Convert to fraction form
    1,607.55/2,410.26 = 1,058.06/x
  3. Step 3: Cross multiply
    1,607.55x = 2,410.26 × 1,058.06
  4. Step 4: Simplify right side
    1,607.55x = 2,550,201.75
  5. Step 5: Solve for x
    x = 2,550,201.75/1,607.55
  6. Step 6: Final answer
    x = 1,586.39

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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.