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Finding the Fourth Proportional to 2,783.08, 4,167.90 and 2,369.80

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Solution

The fourth proportional to 2,783.08, 4,167.90 and 2,369.80 is: 3,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.08 : 4,167.90 = 2,369.80 : x
  2. Step 2: Convert to fraction form
    2,783.08/4,167.90 = 2,369.80/x
  3. Step 3: Cross multiply
    2,783.08x = 4,167.90 × 2,369.80
  4. Step 4: Simplify right side
    2,783.08x = 9,877,089.42
  5. Step 5: Solve for x
    x = 9,877,089.42/2,783.08
  6. Step 6: Final answer
    x = 3,548.98

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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.