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Finding the Fourth Proportional to 4,656.58, 6,980.01 and 1,733.70

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Solution

The fourth proportional to 4,656.58, 6,980.01 and 1,733.70 is: 2,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.58 : 6,980.01 = 1,733.70 : x
  2. Step 2: Convert to fraction form
    4,656.58/6,980.01 = 1,733.70/x
  3. Step 3: Cross multiply
    4,656.58x = 6,980.01 × 1,733.70
  4. Step 4: Simplify right side
    4,656.58x = 12,101,208.44
  5. Step 5: Solve for x
    x = 12,101,208.44/4,656.58
  6. Step 6: Final answer
    x = 2,598.73

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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.