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Finding the Fourth Proportional to 3,133.26, 4,695.80 and 2,307.67

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Solution

The fourth proportional to 3,133.26, 4,695.80 and 2,307.67 is: 3,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.26 : 4,695.80 = 2,307.67 : x
  2. Step 2: Convert to fraction form
    3,133.26/4,695.80 = 2,307.67/x
  3. Step 3: Cross multiply
    3,133.26x = 4,695.80 × 2,307.67
  4. Step 4: Simplify right side
    3,133.26x = 10,836,333.51
  5. Step 5: Solve for x
    x = 10,836,333.51/3,133.26
  6. Step 6: Final answer
    x = 3,458.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.