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Finding the Fourth Proportional to 4,630.49, 6,946.52 and 1,509.61

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Solution

The fourth proportional to 4,630.49, 6,946.52 and 1,509.61 is: 2,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.49 : 6,946.52 = 1,509.61 : x
  2. Step 2: Convert to fraction form
    4,630.49/6,946.52 = 1,509.61/x
  3. Step 3: Cross multiply
    4,630.49x = 6,946.52 × 1,509.61
  4. Step 4: Simplify right side
    4,630.49x = 10,486,536.06
  5. Step 5: Solve for x
    x = 10,486,536.06/4,630.49
  6. Step 6: Final answer
    x = 2,264.67

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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.