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Finding the Fourth Proportional to 3,307.02, 4,956.02 and 1,664.70

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Solution

The fourth proportional to 3,307.02, 4,956.02 and 1,664.70 is: 2,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,307.02 : 4,956.02 = 1,664.70 : x
  2. Step 2: Convert to fraction form
    3,307.02/4,956.02 = 1,664.70/x
  3. Step 3: Cross multiply
    3,307.02x = 4,956.02 × 1,664.70
  4. Step 4: Simplify right side
    3,307.02x = 8,250,261.71
  5. Step 5: Solve for x
    x = 8,250,261.71/3,307.02
  6. Step 6: Final answer
    x = 2,494.77

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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.