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Finding the Fourth Proportional to 2,973.09, 4,103.06 and 1,714.13

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Solution

The fourth proportional to 2,973.09, 4,103.06 and 1,714.13 is: 2,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.09 : 4,103.06 = 1,714.13 : x
  2. Step 2: Convert to fraction form
    2,973.09/4,103.06 = 1,714.13/x
  3. Step 3: Cross multiply
    2,973.09x = 4,103.06 × 1,714.13
  4. Step 4: Simplify right side
    2,973.09x = 7,033,149.15
  5. Step 5: Solve for x
    x = 7,033,149.15/2,973.09
  6. Step 6: Final answer
    x = 2,365.60

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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.