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Finding the Fourth Proportional to 2,392.00, 3,302.47 and 1,646.80

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Solution

The fourth proportional to 2,392.00, 3,302.47 and 1,646.80 is: 2,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.00 : 3,302.47 = 1,646.80 : x
  2. Step 2: Convert to fraction form
    2,392.00/3,302.47 = 1,646.80/x
  3. Step 3: Cross multiply
    2,392.00x = 3,302.47 × 1,646.80
  4. Step 4: Simplify right side
    2,392.00x = 5,438,501.40
  5. Step 5: Solve for x
    x = 5,438,501.40/2,392.00
  6. Step 6: Final answer
    x = 2,273.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.