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Finding the Fourth Proportional to 3,094.42, 4,269.86 and 1,915.50

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Solution

The fourth proportional to 3,094.42, 4,269.86 and 1,915.50 is: 2,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.42 : 4,269.86 = 1,915.50 : x
  2. Step 2: Convert to fraction form
    3,094.42/4,269.86 = 1,915.50/x
  3. Step 3: Cross multiply
    3,094.42x = 4,269.86 × 1,915.50
  4. Step 4: Simplify right side
    3,094.42x = 8,178,916.83
  5. Step 5: Solve for x
    x = 8,178,916.83/3,094.42
  6. Step 6: Final answer
    x = 2,643.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.