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Finding the Fourth Proportional to 2,165.89, 2,989.40 and 1,368.71

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Solution

The fourth proportional to 2,165.89, 2,989.40 and 1,368.71 is: 1,889.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.89 : 2,989.40 = 1,368.71 : x
  2. Step 2: Convert to fraction form
    2,165.89/2,989.40 = 1,368.71/x
  3. Step 3: Cross multiply
    2,165.89x = 2,989.40 × 1,368.71
  4. Step 4: Simplify right side
    2,165.89x = 4,091,617.22
  5. Step 5: Solve for x
    x = 4,091,617.22/2,165.89
  6. Step 6: Final answer
    x = 1,889.11

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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.