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Finding the Fourth Proportional to 2,345.49, 3,235.95 and 1,460.97

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Solution

The fourth proportional to 2,345.49, 3,235.95 and 1,460.97 is: 2,015.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.49 : 3,235.95 = 1,460.97 : x
  2. Step 2: Convert to fraction form
    2,345.49/3,235.95 = 1,460.97/x
  3. Step 3: Cross multiply
    2,345.49x = 3,235.95 × 1,460.97
  4. Step 4: Simplify right side
    2,345.49x = 4,727,625.87
  5. Step 5: Solve for x
    x = 4,727,625.87/2,345.49
  6. Step 6: Final answer
    x = 2,015.62

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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.