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Finding the Fourth Proportional to 2,165.64, 2,989.91 and 1,667.32

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Solution

The fourth proportional to 2,165.64, 2,989.91 and 1,667.32 is: 2,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.64 : 2,989.91 = 1,667.32 : x
  2. Step 2: Convert to fraction form
    2,165.64/2,989.91 = 1,667.32/x
  3. Step 3: Cross multiply
    2,165.64x = 2,989.91 × 1,667.32
  4. Step 4: Simplify right side
    2,165.64x = 4,985,133.43
  5. Step 5: Solve for x
    x = 4,985,133.43/2,165.64
  6. Step 6: Final answer
    x = 2,301.93

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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.