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Finding the Fourth Proportional to 2,783.47, 4,174.79 and 1,051.69

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Solution

The fourth proportional to 2,783.47, 4,174.79 and 1,051.69 is: 1,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.47 : 4,174.79 = 1,051.69 : x
  2. Step 2: Convert to fraction form
    2,783.47/4,174.79 = 1,051.69/x
  3. Step 3: Cross multiply
    2,783.47x = 4,174.79 × 1,051.69
  4. Step 4: Simplify right side
    2,783.47x = 4,390,577.09
  5. Step 5: Solve for x
    x = 4,390,577.09/2,783.47
  6. Step 6: Final answer
    x = 1,577.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.