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Finding the Fourth Proportional to 2,056.61, 3,085.21 and 650.55

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Solution

The fourth proportional to 2,056.61, 3,085.21 and 650.55 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.61 : 3,085.21 = 650.55 : x
  2. Step 2: Convert to fraction form
    2,056.61/3,085.21 = 650.55/x
  3. Step 3: Cross multiply
    2,056.61x = 3,085.21 × 650.55
  4. Step 4: Simplify right side
    2,056.61x = 2,007,081.74
  5. Step 5: Solve for x
    x = 2,007,081.74/2,056.61
  6. Step 6: Final answer
    x = 975.92

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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.