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Finding the Fourth Proportional to 1,784, 2,677.08 and 758

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Solution

The fourth proportional to 1,784, 2,677.08 and 758 is: 1,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784 : 2,677.08 = 758 : x
  2. Step 2: Convert to fraction form
    1,784/2,677.08 = 758/x
  3. Step 3: Cross multiply
    1,784x = 2,677.08 × 758
  4. Step 4: Simplify right side
    1,784x = 2,029,226.64
  5. Step 5: Solve for x
    x = 2,029,226.64/1,784
  6. Step 6: Final answer
    x = 1,137.46

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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.