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Finding the Fourth Proportional to 2,973.74, 4,102.77 and 1,714.36

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Solution

The fourth proportional to 2,973.74, 4,102.77 and 1,714.36 is: 2,365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.74 : 4,102.77 = 1,714.36 : x
  2. Step 2: Convert to fraction form
    2,973.74/4,102.77 = 1,714.36/x
  3. Step 3: Cross multiply
    2,973.74x = 4,102.77 × 1,714.36
  4. Step 4: Simplify right side
    2,973.74x = 7,033,616.21
  5. Step 5: Solve for x
    x = 7,033,616.21/2,973.74
  6. Step 6: Final answer
    x = 2,365.24

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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.