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Finding the Fourth Proportional to 3,050.15, 4,573.51 and 969.77

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Solution

The fourth proportional to 3,050.15, 4,573.51 and 969.77 is: 1,454.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.15 : 4,573.51 = 969.77 : x
  2. Step 2: Convert to fraction form
    3,050.15/4,573.51 = 969.77/x
  3. Step 3: Cross multiply
    3,050.15x = 4,573.51 × 969.77
  4. Step 4: Simplify right side
    3,050.15x = 4,435,261.80
  5. Step 5: Solve for x
    x = 4,435,261.80/3,050.15
  6. Step 6: Final answer
    x = 1,454.12

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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.