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Finding the Fourth Proportional to 2,963.34, 4,447.70 and 1,577.85

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Solution

The fourth proportional to 2,963.34, 4,447.70 and 1,577.85 is: 2,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,963.34 : 4,447.70 = 1,577.85 : x
  2. Step 2: Convert to fraction form
    2,963.34/4,447.70 = 1,577.85/x
  3. Step 3: Cross multiply
    2,963.34x = 4,447.70 × 1,577.85
  4. Step 4: Simplify right side
    2,963.34x = 7,017,795.56
  5. Step 5: Solve for x
    x = 7,017,795.56/2,963.34
  6. Step 6: Final answer
    x = 2,368.20

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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.