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Finding the Fourth Proportional to 1,411.41, 1,947.10 and 914.21

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Solution

The fourth proportional to 1,411.41, 1,947.10 and 914.21 is: 1,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.41 : 1,947.10 = 914.21 : x
  2. Step 2: Convert to fraction form
    1,411.41/1,947.10 = 914.21/x
  3. Step 3: Cross multiply
    1,411.41x = 1,947.10 × 914.21
  4. Step 4: Simplify right side
    1,411.41x = 1,780,058.29
  5. Step 5: Solve for x
    x = 1,780,058.29/1,411.41
  6. Step 6: Final answer
    x = 1,261.19

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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.