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Finding the Fourth Proportional to 2,783.01, 4,174.49 and 1,117.89

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Solution

The fourth proportional to 2,783.01, 4,174.49 and 1,117.89 is: 1,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.01 : 4,174.49 = 1,117.89 : x
  2. Step 2: Convert to fraction form
    2,783.01/4,174.49 = 1,117.89/x
  3. Step 3: Cross multiply
    2,783.01x = 4,174.49 × 1,117.89
  4. Step 4: Simplify right side
    2,783.01x = 4,666,615.04
  5. Step 5: Solve for x
    x = 4,666,615.04/2,783.01
  6. Step 6: Final answer
    x = 1,676.82

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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.