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Finding the Fourth Proportional to 2,702.82, 4,051.80 and 946.56

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Solution

The fourth proportional to 2,702.82, 4,051.80 and 946.56 is: 1,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.82 : 4,051.80 = 946.56 : x
  2. Step 2: Convert to fraction form
    2,702.82/4,051.80 = 946.56/x
  3. Step 3: Cross multiply
    2,702.82x = 4,051.80 × 946.56
  4. Step 4: Simplify right side
    2,702.82x = 3,835,271.81
  5. Step 5: Solve for x
    x = 3,835,271.81/2,702.82
  6. Step 6: Final answer
    x = 1,418.99

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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.