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Finding the Fourth Proportional to 2,164.94, 3,242.34 and 1,065.77

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Solution

The fourth proportional to 2,164.94, 3,242.34 and 1,065.77 is: 1,596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.94 : 3,242.34 = 1,065.77 : x
  2. Step 2: Convert to fraction form
    2,164.94/3,242.34 = 1,065.77/x
  3. Step 3: Cross multiply
    2,164.94x = 3,242.34 × 1,065.77
  4. Step 4: Simplify right side
    2,164.94x = 3,455,572.49
  5. Step 5: Solve for x
    x = 3,455,572.49/2,164.94
  6. Step 6: Final answer
    x = 1,596.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.