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Finding the Fourth Proportional to 1,714.38, 2,365.70 and 968.52

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Solution

The fourth proportional to 1,714.38, 2,365.70 and 968.52 is: 1,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.38 : 2,365.70 = 968.52 : x
  2. Step 2: Convert to fraction form
    1,714.38/2,365.70 = 968.52/x
  3. Step 3: Cross multiply
    1,714.38x = 2,365.70 × 968.52
  4. Step 4: Simplify right side
    1,714.38x = 2,291,227.76
  5. Step 5: Solve for x
    x = 2,291,227.76/1,714.38
  6. Step 6: Final answer
    x = 1,336.48

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1.5x scale

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.