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Finding the Fourth Proportional to 2,783.65, 4,172.75 and 1,137.94

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Solution

The fourth proportional to 2,783.65, 4,172.75 and 1,137.94 is: 1,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.65 : 4,172.75 = 1,137.94 : x
  2. Step 2: Convert to fraction form
    2,783.65/4,172.75 = 1,137.94/x
  3. Step 3: Cross multiply
    2,783.65x = 4,172.75 × 1,137.94
  4. Step 4: Simplify right side
    2,783.65x = 4,748,339.14
  5. Step 5: Solve for x
    x = 4,748,339.14/2,783.65
  6. Step 6: Final answer
    x = 1,705.80

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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.