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Finding the Fourth Proportional to 1,714.34, 2,365.65 and 1,006.11

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Solution

The fourth proportional to 1,714.34, 2,365.65 and 1,006.11 is: 1,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.34 : 2,365.65 = 1,006.11 : x
  2. Step 2: Convert to fraction form
    1,714.34/2,365.65 = 1,006.11/x
  3. Step 3: Cross multiply
    1,714.34x = 2,365.65 × 1,006.11
  4. Step 4: Simplify right side
    1,714.34x = 2,380,104.12
  5. Step 5: Solve for x
    x = 2,380,104.12/1,714.34
  6. Step 6: Final answer
    x = 1,388.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.