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Finding the Fourth Proportional to 1,842.85, 2,532.67 and 1,658.32

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Solution

The fourth proportional to 1,842.85, 2,532.67 and 1,658.32 is: 2,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.85 : 2,532.67 = 1,658.32 : x
  2. Step 2: Convert to fraction form
    1,842.85/2,532.67 = 1,658.32/x
  3. Step 3: Cross multiply
    1,842.85x = 2,532.67 × 1,658.32
  4. Step 4: Simplify right side
    1,842.85x = 4,199,981.08
  5. Step 5: Solve for x
    x = 4,199,981.08/1,842.85
  6. Step 6: Final answer
    x = 2,279.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.