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Finding the Fourth Proportional to 2,646.24, 3,973.20 and 1,880.80

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Solution

The fourth proportional to 2,646.24, 3,973.20 and 1,880.80 is: 2,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.24 : 3,973.20 = 1,880.80 : x
  2. Step 2: Convert to fraction form
    2,646.24/3,973.20 = 1,880.80/x
  3. Step 3: Cross multiply
    2,646.24x = 3,973.20 × 1,880.80
  4. Step 4: Simplify right side
    2,646.24x = 7,472,794.56
  5. Step 5: Solve for x
    x = 7,472,794.56/2,646.24
  6. Step 6: Final answer
    x = 2,823.93

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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.