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Finding the Fourth Proportional to 2,924.82, 4,384.20 and 975.60

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Solution

The fourth proportional to 2,924.82, 4,384.20 and 975.60 is: 1,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.82 : 4,384.20 = 975.60 : x
  2. Step 2: Convert to fraction form
    2,924.82/4,384.20 = 975.60/x
  3. Step 3: Cross multiply
    2,924.82x = 4,384.20 × 975.60
  4. Step 4: Simplify right side
    2,924.82x = 4,277,225.52
  5. Step 5: Solve for x
    x = 4,277,225.52/2,924.82
  6. Step 6: Final answer
    x = 1,462.39

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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.