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Finding the Fourth Proportional to 2,946.55, 4,066.24 and 1,620.25

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Solution

The fourth proportional to 2,946.55, 4,066.24 and 1,620.25 is: 2,235.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.55 : 4,066.24 = 1,620.25 : x
  2. Step 2: Convert to fraction form
    2,946.55/4,066.24 = 1,620.25/x
  3. Step 3: Cross multiply
    2,946.55x = 4,066.24 × 1,620.25
  4. Step 4: Simplify right side
    2,946.55x = 6,588,311.14
  5. Step 5: Solve for x
    x = 6,588,311.14/2,946.55
  6. Step 6: Final answer
    x = 2,235.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.