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Finding the Fourth Proportional to 1,714.67, 2,366.12 and 968.53

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Solution

The fourth proportional to 1,714.67, 2,366.12 and 968.53 is: 1,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.67 : 2,366.12 = 968.53 : x
  2. Step 2: Convert to fraction form
    1,714.67/2,366.12 = 968.53/x
  3. Step 3: Cross multiply
    1,714.67x = 2,366.12 × 968.53
  4. Step 4: Simplify right side
    1,714.67x = 2,291,641.53
  5. Step 5: Solve for x
    x = 2,291,641.53/1,714.67
  6. Step 6: Final answer
    x = 1,336.49

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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.