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Finding the Fourth Proportional to 1,946.91, 2,919.77 and 714.41

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Solution

The fourth proportional to 1,946.91, 2,919.77 and 714.41 is: 1,071.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.91 : 2,919.77 = 714.41 : x
  2. Step 2: Convert to fraction form
    1,946.91/2,919.77 = 714.41/x
  3. Step 3: Cross multiply
    1,946.91x = 2,919.77 × 714.41
  4. Step 4: Simplify right side
    1,946.91x = 2,085,894.71
  5. Step 5: Solve for x
    x = 2,085,894.71/1,946.91
  6. Step 6: Final answer
    x = 1,071.39

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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.