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Finding the Fourth Proportional to 1,705.44, 2,554.04 and 1,155.95

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Solution

The fourth proportional to 1,705.44, 2,554.04 and 1,155.95 is: 1,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.44 : 2,554.04 = 1,155.95 : x
  2. Step 2: Convert to fraction form
    1,705.44/2,554.04 = 1,155.95/x
  3. Step 3: Cross multiply
    1,705.44x = 2,554.04 × 1,155.95
  4. Step 4: Simplify right side
    1,705.44x = 2,952,342.54
  5. Step 5: Solve for x
    x = 2,952,342.54/1,705.44
  6. Step 6: Final answer
    x = 1,731.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.