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Finding the Fourth Proportional to 1,668.35, 2,504.07 and 847.21

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Solution

The fourth proportional to 1,668.35, 2,504.07 and 847.21 is: 1,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.35 : 2,504.07 = 847.21 : x
  2. Step 2: Convert to fraction form
    1,668.35/2,504.07 = 847.21/x
  3. Step 3: Cross multiply
    1,668.35x = 2,504.07 × 847.21
  4. Step 4: Simplify right side
    1,668.35x = 2,121,473.14
  5. Step 5: Solve for x
    x = 2,121,473.14/1,668.35
  6. Step 6: Final answer
    x = 1,271.60

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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.