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Finding the Fourth Proportional to 2,404.28, 3,604.80 and 1,307.60

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Solution

The fourth proportional to 2,404.28, 3,604.80 and 1,307.60 is: 1,960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.28 : 3,604.80 = 1,307.60 : x
  2. Step 2: Convert to fraction form
    2,404.28/3,604.80 = 1,307.60/x
  3. Step 3: Cross multiply
    2,404.28x = 3,604.80 × 1,307.60
  4. Step 4: Simplify right side
    2,404.28x = 4,713,636.48
  5. Step 5: Solve for x
    x = 4,713,636.48/2,404.28
  6. Step 6: Final answer
    x = 1,960.52

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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.