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Finding the Fourth Proportional to 1,668.36, 2,501.06 and 936.40

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Solution

The fourth proportional to 1,668.36, 2,501.06 and 936.40 is: 1,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.36 : 2,501.06 = 936.40 : x
  2. Step 2: Convert to fraction form
    1,668.36/2,501.06 = 936.40/x
  3. Step 3: Cross multiply
    1,668.36x = 2,501.06 × 936.40
  4. Step 4: Simplify right side
    1,668.36x = 2,341,992.58
  5. Step 5: Solve for x
    x = 2,341,992.58/1,668.36
  6. Step 6: Final answer
    x = 1,403.77

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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.