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Finding the Fourth Proportional to 1,714.23, 2,569.73 and 847.53

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Solution

The fourth proportional to 1,714.23, 2,569.73 and 847.53 is: 1,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.23 : 2,569.73 = 847.53 : x
  2. Step 2: Convert to fraction form
    1,714.23/2,569.73 = 847.53/x
  3. Step 3: Cross multiply
    1,714.23x = 2,569.73 × 847.53
  4. Step 4: Simplify right side
    1,714.23x = 2,177,919.03
  5. Step 5: Solve for x
    x = 2,177,919.03/1,714.23
  6. Step 6: Final answer
    x = 1,270.49

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1.5x scale

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.