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Finding the Fourth Proportional to 1,783.10, 2,677.24 and 1,265.84

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Solution

The fourth proportional to 1,783.10, 2,677.24 and 1,265.84 is: 1,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.10 : 2,677.24 = 1,265.84 : x
  2. Step 2: Convert to fraction form
    1,783.10/2,677.24 = 1,265.84/x
  3. Step 3: Cross multiply
    1,783.10x = 2,677.24 × 1,265.84
  4. Step 4: Simplify right side
    1,783.10x = 3,388,948.60
  5. Step 5: Solve for x
    x = 3,388,948.60/1,783.10
  6. Step 6: Final answer
    x = 1,900.60

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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.