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Finding the Fourth Proportional to 2,973.17, 4,102.63 and 1,714.22

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Solution

The fourth proportional to 2,973.17, 4,102.63 and 1,714.22 is: 2,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.17 : 4,102.63 = 1,714.22 : x
  2. Step 2: Convert to fraction form
    2,973.17/4,102.63 = 1,714.22/x
  3. Step 3: Cross multiply
    2,973.17x = 4,102.63 × 1,714.22
  4. Step 4: Simplify right side
    2,973.17x = 7,032,800.98
  5. Step 5: Solve for x
    x = 7,032,800.98/2,973.17
  6. Step 6: Final answer
    x = 2,365.42

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