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Finding the Fourth Proportional to 1,714.50, 2,366.08 and 968.46

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Solution

The fourth proportional to 1,714.50, 2,366.08 and 968.46 is: 1,336.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.50 : 2,366.08 = 968.46 : x
  2. Step 2: Convert to fraction form
    1,714.50/2,366.08 = 968.46/x
  3. Step 3: Cross multiply
    1,714.50x = 2,366.08 × 968.46
  4. Step 4: Simplify right side
    1,714.50x = 2,291,453.84
  5. Step 5: Solve for x
    x = 2,291,453.84/1,714.50
  6. Step 6: Final answer
    x = 1,336.51

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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.