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Finding the Fourth Proportional to 1,100.15, 1,517.64 and 975.95

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Solution

The fourth proportional to 1,100.15, 1,517.64 and 975.95 is: 1,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.15 : 1,517.64 = 975.95 : x
  2. Step 2: Convert to fraction form
    1,100.15/1,517.64 = 975.95/x
  3. Step 3: Cross multiply
    1,100.15x = 1,517.64 × 975.95
  4. Step 4: Simplify right side
    1,100.15x = 1,481,140.76
  5. Step 5: Solve for x
    x = 1,481,140.76/1,100.15
  6. Step 6: Final answer
    x = 1,346.31

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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.