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Finding the Fourth Proportional to 2,946.78, 4,422 and 1,714.74

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Solution

The fourth proportional to 2,946.78, 4,422 and 1,714.74 is: 2,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.78 : 4,422 = 1,714.74 : x
  2. Step 2: Convert to fraction form
    2,946.78/4,422 = 1,714.74/x
  3. Step 3: Cross multiply
    2,946.78x = 4,422 × 1,714.74
  4. Step 4: Simplify right side
    2,946.78x = 7,582,580.28
  5. Step 5: Solve for x
    x = 7,582,580.28/2,946.78
  6. Step 6: Final answer
    x = 2,573.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.