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Finding the Fourth Proportional to 1,714.98, 2,569.23 and 846.66

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Solution

The fourth proportional to 1,714.98, 2,569.23 and 846.66 is: 1,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.98 : 2,569.23 = 846.66 : x
  2. Step 2: Convert to fraction form
    1,714.98/2,569.23 = 846.66/x
  3. Step 3: Cross multiply
    1,714.98x = 2,569.23 × 846.66
  4. Step 4: Simplify right side
    1,714.98x = 2,175,264.27
  5. Step 5: Solve for x
    x = 2,175,264.27/1,714.98
  6. Step 6: Final answer
    x = 1,268.39

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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.