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Finding the Fourth Proportional to 2,355.29, 3,250.08 and 1,411.07

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Solution

The fourth proportional to 2,355.29, 3,250.08 and 1,411.07 is: 1,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355.29 : 3,250.08 = 1,411.07 : x
  2. Step 2: Convert to fraction form
    2,355.29/3,250.08 = 1,411.07/x
  3. Step 3: Cross multiply
    2,355.29x = 3,250.08 × 1,411.07
  4. Step 4: Simplify right side
    2,355.29x = 4,586,074.14
  5. Step 5: Solve for x
    x = 4,586,074.14/2,355.29
  6. Step 6: Final answer
    x = 1,947.14

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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.