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Finding the Fourth Proportional to 2,949.88, 4,425.31 and 975.98

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Solution

The fourth proportional to 2,949.88, 4,425.31 and 975.98 is: 1,464.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.88 : 4,425.31 = 975.98 : x
  2. Step 2: Convert to fraction form
    2,949.88/4,425.31 = 975.98/x
  3. Step 3: Cross multiply
    2,949.88x = 4,425.31 × 975.98
  4. Step 4: Simplify right side
    2,949.88x = 4,319,014.05
  5. Step 5: Solve for x
    x = 4,319,014.05/2,949.88
  6. Step 6: Final answer
    x = 1,464.13

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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.