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Finding the Fourth Proportional to 2,150.00, 2,967 and 1,403.51

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Solution

The fourth proportional to 2,150.00, 2,967 and 1,403.51 is: 1,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.00 : 2,967 = 1,403.51 : x
  2. Step 2: Convert to fraction form
    2,150.00/2,967 = 1,403.51/x
  3. Step 3: Cross multiply
    2,150.00x = 2,967 × 1,403.51
  4. Step 4: Simplify right side
    2,150.00x = 4,164,214.17
  5. Step 5: Solve for x
    x = 4,164,214.17/2,150.00
  6. Step 6: Final answer
    x = 1,936.85

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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.