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Finding the Fourth Proportional to 1,714.64, 2,571.93 and 416.12

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Solution

The fourth proportional to 1,714.64, 2,571.93 and 416.12 is: 624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.64 : 2,571.93 = 416.12 : x
  2. Step 2: Convert to fraction form
    1,714.64/2,571.93 = 416.12/x
  3. Step 3: Cross multiply
    1,714.64x = 2,571.93 × 416.12
  4. Step 4: Simplify right side
    1,714.64x = 1,070,231.51
  5. Step 5: Solve for x
    x = 1,070,231.51/1,714.64
  6. Step 6: Final answer
    x = 624.17

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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.