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Finding the Fourth Proportional to 3,077.36, 4,616.06 and 1,345.56

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Solution

The fourth proportional to 3,077.36, 4,616.06 and 1,345.56 is: 2,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.36 : 4,616.06 = 1,345.56 : x
  2. Step 2: Convert to fraction form
    3,077.36/4,616.06 = 1,345.56/x
  3. Step 3: Cross multiply
    3,077.36x = 4,616.06 × 1,345.56
  4. Step 4: Simplify right side
    3,077.36x = 6,211,185.69
  5. Step 5: Solve for x
    x = 6,211,185.69/3,077.36
  6. Step 6: Final answer
    x = 2,018.35

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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.