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Finding the Fourth Proportional to 1,388.93, 2,071.62 and 1,171.00

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Solution

The fourth proportional to 1,388.93, 2,071.62 and 1,171.00 is: 1,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.93 : 2,071.62 = 1,171.00 : x
  2. Step 2: Convert to fraction form
    1,388.93/2,071.62 = 1,171.00/x
  3. Step 3: Cross multiply
    1,388.93x = 2,071.62 × 1,171.00
  4. Step 4: Simplify right side
    1,388.93x = 2,425,850.81
  5. Step 5: Solve for x
    x = 2,425,850.81/1,388.93
  6. Step 6: Final answer
    x = 1,746.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.