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Finding the Fourth Proportional to 4,630.84, 6,946.80 and 1,510.06

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Solution

The fourth proportional to 4,630.84, 6,946.80 and 1,510.06 is: 2,265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.84 : 6,946.80 = 1,510.06 : x
  2. Step 2: Convert to fraction form
    4,630.84/6,946.80 = 1,510.06/x
  3. Step 3: Cross multiply
    4,630.84x = 6,946.80 × 1,510.06
  4. Step 4: Simplify right side
    4,630.84x = 10,490,084.81
  5. Step 5: Solve for x
    x = 10,490,084.81/4,630.84
  6. Step 6: Final answer
    x = 2,265.27

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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.