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Finding the Fourth Proportional to 2,671.98, 4,007.35 and 1,284.45

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Solution

The fourth proportional to 2,671.98, 4,007.35 and 1,284.45 is: 1,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.98 : 4,007.35 = 1,284.45 : x
  2. Step 2: Convert to fraction form
    2,671.98/4,007.35 = 1,284.45/x
  3. Step 3: Cross multiply
    2,671.98x = 4,007.35 × 1,284.45
  4. Step 4: Simplify right side
    2,671.98x = 5,147,240.71
  5. Step 5: Solve for x
    x = 5,147,240.71/2,671.98
  6. Step 6: Final answer
    x = 1,926.38

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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.