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Finding the Fourth Proportional to 1,674.66, 2,508.65 and 1,307.73

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Solution

The fourth proportional to 1,674.66, 2,508.65 and 1,307.73 is: 1,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.66 : 2,508.65 = 1,307.73 : x
  2. Step 2: Convert to fraction form
    1,674.66/2,508.65 = 1,307.73/x
  3. Step 3: Cross multiply
    1,674.66x = 2,508.65 × 1,307.73
  4. Step 4: Simplify right side
    1,674.66x = 3,280,636.86
  5. Step 5: Solve for x
    x = 3,280,636.86/1,674.66
  6. Step 6: Final answer
    x = 1,958.99

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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.