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Finding the Fourth Proportional to 1,949.55, 2,925.61 and 716.97

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Solution

The fourth proportional to 1,949.55, 2,925.61 and 716.97 is: 1,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.55 : 2,925.61 = 716.97 : x
  2. Step 2: Convert to fraction form
    1,949.55/2,925.61 = 716.97/x
  3. Step 3: Cross multiply
    1,949.55x = 2,925.61 × 716.97
  4. Step 4: Simplify right side
    1,949.55x = 2,097,571.02
  5. Step 5: Solve for x
    x = 2,097,571.02/1,949.55
  6. Step 6: Final answer
    x = 1,075.93

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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.