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Finding the Fourth Proportional to 2,093.67, 3,139.53 and 776.51

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Solution

The fourth proportional to 2,093.67, 3,139.53 and 776.51 is: 1,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.67 : 3,139.53 = 776.51 : x
  2. Step 2: Convert to fraction form
    2,093.67/3,139.53 = 776.51/x
  3. Step 3: Cross multiply
    2,093.67x = 3,139.53 × 776.51
  4. Step 4: Simplify right side
    2,093.67x = 2,437,860.74
  5. Step 5: Solve for x
    x = 2,437,860.74/2,093.67
  6. Step 6: Final answer
    x = 1,164.40

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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.