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Finding the Fourth Proportional to 2,970.56, 4,099.46 and 1,924.45

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Solution

The fourth proportional to 2,970.56, 4,099.46 and 1,924.45 is: 2,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.56 : 4,099.46 = 1,924.45 : x
  2. Step 2: Convert to fraction form
    2,970.56/4,099.46 = 1,924.45/x
  3. Step 3: Cross multiply
    2,970.56x = 4,099.46 × 1,924.45
  4. Step 4: Simplify right side
    2,970.56x = 7,889,185.93
  5. Step 5: Solve for x
    x = 7,889,185.93/2,970.56
  6. Step 6: Final answer
    x = 2,655.79

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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.