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Finding the Fourth Proportional to 2,928.68, 4,388.06 and 1,772

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Solution

The fourth proportional to 2,928.68, 4,388.06 and 1,772 is: 2,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,928.68 : 4,388.06 = 1,772 : x
  2. Step 2: Convert to fraction form
    2,928.68/4,388.06 = 1,772/x
  3. Step 3: Cross multiply
    2,928.68x = 4,388.06 × 1,772
  4. Step 4: Simplify right side
    2,928.68x = 7,775,642.32
  5. Step 5: Solve for x
    x = 7,775,642.32/2,928.68
  6. Step 6: Final answer
    x = 2,655.00

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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.