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Finding the Fourth Proportional to 2,307.96, 3,184.97 and 1,260

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Solution

The fourth proportional to 2,307.96, 3,184.97 and 1,260 is: 1,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.96 : 3,184.97 = 1,260 : x
  2. Step 2: Convert to fraction form
    2,307.96/3,184.97 = 1,260/x
  3. Step 3: Cross multiply
    2,307.96x = 3,184.97 × 1,260
  4. Step 4: Simplify right side
    2,307.96x = 4,013,055.90
  5. Step 5: Solve for x
    x = 4,013,055.90/2,307.96
  6. Step 6: Final answer
    x = 1,738.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.