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Finding the Fourth Proportional to 2,946.76, 4,066.74 and 1,620.52

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Solution

The fourth proportional to 2,946.76, 4,066.74 and 1,620.52 is: 2,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.76 : 4,066.74 = 1,620.52 : x
  2. Step 2: Convert to fraction form
    2,946.76/4,066.74 = 1,620.52/x
  3. Step 3: Cross multiply
    2,946.76x = 4,066.74 × 1,620.52
  4. Step 4: Simplify right side
    2,946.76x = 6,590,223.34
  5. Step 5: Solve for x
    x = 6,590,223.34/2,946.76
  6. Step 6: Final answer
    x = 2,236.43

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Why These Related Problems?

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