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Finding the Fourth Proportional to 1,915.64, 2,874.36 and 1,223.08

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Solution

The fourth proportional to 1,915.64, 2,874.36 and 1,223.08 is: 1,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.64 : 2,874.36 = 1,223.08 : x
  2. Step 2: Convert to fraction form
    1,915.64/2,874.36 = 1,223.08/x
  3. Step 3: Cross multiply
    1,915.64x = 2,874.36 × 1,223.08
  4. Step 4: Simplify right side
    1,915.64x = 3,515,572.23
  5. Step 5: Solve for x
    x = 3,515,572.23/1,915.64
  6. Step 6: Final answer
    x = 1,835.19

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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.