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Finding the Fourth Proportional to 2,164.60, 3,242.79 and 1,285.24

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Solution

The fourth proportional to 2,164.60, 3,242.79 and 1,285.24 is: 1,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.60 : 3,242.79 = 1,285.24 : x
  2. Step 2: Convert to fraction form
    2,164.60/3,242.79 = 1,285.24/x
  3. Step 3: Cross multiply
    2,164.60x = 3,242.79 × 1,285.24
  4. Step 4: Simplify right side
    2,164.60x = 4,167,763.42
  5. Step 5: Solve for x
    x = 4,167,763.42/2,164.60
  6. Step 6: Final answer
    x = 1,925.42

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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.