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Finding the Fourth Proportional to 2,405.54, 3,319.17 and 1,411.13

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Solution

The fourth proportional to 2,405.54, 3,319.17 and 1,411.13 is: 1,947.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.54 : 3,319.17 = 1,411.13 : x
  2. Step 2: Convert to fraction form
    2,405.54/3,319.17 = 1,411.13/x
  3. Step 3: Cross multiply
    2,405.54x = 3,319.17 × 1,411.13
  4. Step 4: Simplify right side
    2,405.54x = 4,683,780.36
  5. Step 5: Solve for x
    x = 4,683,780.36/2,405.54
  6. Step 6: Final answer
    x = 1,947.08

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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.