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Finding the Fourth Proportional to 4,630.76, 6,946.87 and 1,510.05

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Solution

The fourth proportional to 4,630.76, 6,946.87 and 1,510.05 is: 2,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.76 : 6,946.87 = 1,510.05 : x
  2. Step 2: Convert to fraction form
    4,630.76/6,946.87 = 1,510.05/x
  3. Step 3: Cross multiply
    4,630.76x = 6,946.87 × 1,510.05
  4. Step 4: Simplify right side
    4,630.76x = 10,490,078.76
  5. Step 5: Solve for x
    x = 10,490,078.76/4,630.76
  6. Step 6: Final answer
    x = 2,265.30

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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.