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Finding the Fourth Proportional to 1,851.34, 2,783.22 and 1,307.44

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Solution

The fourth proportional to 1,851.34, 2,783.22 and 1,307.44 is: 1,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.34 : 2,783.22 = 1,307.44 : x
  2. Step 2: Convert to fraction form
    1,851.34/2,783.22 = 1,307.44/x
  3. Step 3: Cross multiply
    1,851.34x = 2,783.22 × 1,307.44
  4. Step 4: Simplify right side
    1,851.34x = 3,638,893.16
  5. Step 5: Solve for x
    x = 3,638,893.16/1,851.34
  6. Step 6: Final answer
    x = 1,965.55

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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.