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Finding the Fourth Proportional to 2,058.42, 3,085.32 and 1,019.16

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Solution

The fourth proportional to 2,058.42, 3,085.32 and 1,019.16 is: 1,527.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.42 : 3,085.32 = 1,019.16 : x
  2. Step 2: Convert to fraction form
    2,058.42/3,085.32 = 1,019.16/x
  3. Step 3: Cross multiply
    2,058.42x = 3,085.32 × 1,019.16
  4. Step 4: Simplify right side
    2,058.42x = 3,144,434.73
  5. Step 5: Solve for x
    x = 3,144,434.73/2,058.42
  6. Step 6: Final answer
    x = 1,527.60

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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.