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Finding the Fourth Proportional to 1,411.54, 1,947.72 and 887.74

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Solution

The fourth proportional to 1,411.54, 1,947.72 and 887.74 is: 1,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.54 : 1,947.72 = 887.74 : x
  2. Step 2: Convert to fraction form
    1,411.54/1,947.72 = 887.74/x
  3. Step 3: Cross multiply
    1,411.54x = 1,947.72 × 887.74
  4. Step 4: Simplify right side
    1,411.54x = 1,729,068.95
  5. Step 5: Solve for x
    x = 1,729,068.95/1,411.54
  6. Step 6: Final answer
    x = 1,224.95

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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.