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Finding the Fourth Proportional to 1,979.74, 2,730.85 and 1,307.55

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Solution

The fourth proportional to 1,979.74, 2,730.85 and 1,307.55 is: 1,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.74 : 2,730.85 = 1,307.55 : x
  2. Step 2: Convert to fraction form
    1,979.74/2,730.85 = 1,307.55/x
  3. Step 3: Cross multiply
    1,979.74x = 2,730.85 × 1,307.55
  4. Step 4: Simplify right side
    1,979.74x = 3,570,722.92
  5. Step 5: Solve for x
    x = 3,570,722.92/1,979.74
  6. Step 6: Final answer
    x = 1,803.63

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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.