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Finding the Fourth Proportional to 2,973.13, 4,102.93 and 1,927.01

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Solution

The fourth proportional to 2,973.13, 4,102.93 and 1,927.01 is: 2,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.13 : 4,102.93 = 1,927.01 : x
  2. Step 2: Convert to fraction form
    2,973.13/4,102.93 = 1,927.01/x
  3. Step 3: Cross multiply
    2,973.13x = 4,102.93 × 1,927.01
  4. Step 4: Simplify right side
    2,973.13x = 7,906,399.81
  5. Step 5: Solve for x
    x = 7,906,399.81/2,973.13
  6. Step 6: Final answer
    x = 2,659.29

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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.