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Finding the Fourth Proportional to 1,386.72, 1,914.84 and 1,155.06

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Solution

The fourth proportional to 1,386.72, 1,914.84 and 1,155.06 is: 1,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.72 : 1,914.84 = 1,155.06 : x
  2. Step 2: Convert to fraction form
    1,386.72/1,914.84 = 1,155.06/x
  3. Step 3: Cross multiply
    1,386.72x = 1,914.84 × 1,155.06
  4. Step 4: Simplify right side
    1,386.72x = 2,211,755.09
  5. Step 5: Solve for x
    x = 2,211,755.09/1,386.72
  6. Step 6: Final answer
    x = 1,594.95

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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.