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Finding the Fourth Proportional to 2,703.47, 4,051.94 and 1,766.85

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Solution

The fourth proportional to 2,703.47, 4,051.94 and 1,766.85 is: 2,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.47 : 4,051.94 = 1,766.85 : x
  2. Step 2: Convert to fraction form
    2,703.47/4,051.94 = 1,766.85/x
  3. Step 3: Cross multiply
    2,703.47x = 4,051.94 × 1,766.85
  4. Step 4: Simplify right side
    2,703.47x = 7,159,178.89
  5. Step 5: Solve for x
    x = 7,159,178.89/2,703.47
  6. Step 6: Final answer
    x = 2,648.15

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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.