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Finding the Fourth Proportional to 2,977.29, 4,465.78 and 785.94

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Solution

The fourth proportional to 2,977.29, 4,465.78 and 785.94 is: 1,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.29 : 4,465.78 = 785.94 : x
  2. Step 2: Convert to fraction form
    2,977.29/4,465.78 = 785.94/x
  3. Step 3: Cross multiply
    2,977.29x = 4,465.78 × 785.94
  4. Step 4: Simplify right side
    2,977.29x = 3,509,820.84
  5. Step 5: Solve for x
    x = 3,509,820.84/2,977.29
  6. Step 6: Final answer
    x = 1,178.86

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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.