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Finding the Fourth Proportional to 2,051.02, 2,830.62 and 1,212

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Solution

The fourth proportional to 2,051.02, 2,830.62 and 1,212 is: 1,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.02 : 2,830.62 = 1,212 : x
  2. Step 2: Convert to fraction form
    2,051.02/2,830.62 = 1,212/x
  3. Step 3: Cross multiply
    2,051.02x = 2,830.62 × 1,212
  4. Step 4: Simplify right side
    2,051.02x = 3,430,711.44
  5. Step 5: Solve for x
    x = 3,430,711.44/2,051.02
  6. Step 6: Final answer
    x = 1,672.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.