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Finding the Fourth Proportional to 2,970.88, 4,099.82 and 1,924.76

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Solution

The fourth proportional to 2,970.88, 4,099.82 and 1,924.76 is: 2,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.88 : 4,099.82 = 1,924.76 : x
  2. Step 2: Convert to fraction form
    2,970.88/4,099.82 = 1,924.76/x
  3. Step 3: Cross multiply
    2,970.88x = 4,099.82 × 1,924.76
  4. Step 4: Simplify right side
    2,970.88x = 7,891,170.17
  5. Step 5: Solve for x
    x = 7,891,170.17/2,970.88
  6. Step 6: Final answer
    x = 2,656.17

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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.