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Finding the Fourth Proportional to 1,714.16, 2,571.09 and 985.38

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Solution

The fourth proportional to 1,714.16, 2,571.09 and 985.38 is: 1,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.16 : 2,571.09 = 985.38 : x
  2. Step 2: Convert to fraction form
    1,714.16/2,571.09 = 985.38/x
  3. Step 3: Cross multiply
    1,714.16x = 2,571.09 × 985.38
  4. Step 4: Simplify right side
    1,714.16x = 2,533,500.66
  5. Step 5: Solve for x
    x = 2,533,500.66/1,714.16
  6. Step 6: Final answer
    x = 1,477.99

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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.