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Finding the Fourth Proportional to 3,345.78, 4,616.70 and 1,853.78

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Solution

The fourth proportional to 3,345.78, 4,616.70 and 1,853.78 is: 2,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.78 : 4,616.70 = 1,853.78 : x
  2. Step 2: Convert to fraction form
    3,345.78/4,616.70 = 1,853.78/x
  3. Step 3: Cross multiply
    3,345.78x = 4,616.70 × 1,853.78
  4. Step 4: Simplify right side
    3,345.78x = 8,558,346.13
  5. Step 5: Solve for x
    x = 8,558,346.13/3,345.78
  6. Step 6: Final answer
    x = 2,557.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.