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Finding the Fourth Proportional to 2,946.57, 4,066.29 and 1,620.28

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Solution

The fourth proportional to 2,946.57, 4,066.29 and 1,620.28 is: 2,236.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.57 : 4,066.29 = 1,620.28 : x
  2. Step 2: Convert to fraction form
    2,946.57/4,066.29 = 1,620.28/x
  3. Step 3: Cross multiply
    2,946.57x = 4,066.29 × 1,620.28
  4. Step 4: Simplify right side
    2,946.57x = 6,588,538.00
  5. Step 5: Solve for x
    x = 6,588,538.00/2,946.57
  6. Step 6: Final answer
    x = 2,236.00

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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.