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Finding the Fourth Proportional to 1,714.42, 2,570.37 and 848.53

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Solution

The fourth proportional to 1,714.42, 2,570.37 and 848.53 is: 1,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.42 : 2,570.37 = 848.53 : x
  2. Step 2: Convert to fraction form
    1,714.42/2,570.37 = 848.53/x
  3. Step 3: Cross multiply
    1,714.42x = 2,570.37 × 848.53
  4. Step 4: Simplify right side
    1,714.42x = 2,181,036.06
  5. Step 5: Solve for x
    x = 2,181,036.06/1,714.42
  6. Step 6: Final answer
    x = 1,272.17

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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.