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Finding the Fourth Proportional to 4,601.90, 6,902.84 and 1,314.98

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Solution

The fourth proportional to 4,601.90, 6,902.84 and 1,314.98 is: 1,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.90 : 6,902.84 = 1,314.98 : x
  2. Step 2: Convert to fraction form
    4,601.90/6,902.84 = 1,314.98/x
  3. Step 3: Cross multiply
    4,601.90x = 6,902.84 × 1,314.98
  4. Step 4: Simplify right side
    4,601.90x = 9,077,055.45
  5. Step 5: Solve for x
    x = 9,077,055.45/4,601.90
  6. Step 6: Final answer
    x = 1,972.46

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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.