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Finding the Fourth Proportional to 1,372.42, 1,893.89 and 783.15

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Solution

The fourth proportional to 1,372.42, 1,893.89 and 783.15 is: 1,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.42 : 1,893.89 = 783.15 : x
  2. Step 2: Convert to fraction form
    1,372.42/1,893.89 = 783.15/x
  3. Step 3: Cross multiply
    1,372.42x = 1,893.89 × 783.15
  4. Step 4: Simplify right side
    1,372.42x = 1,483,199.95
  5. Step 5: Solve for x
    x = 1,483,199.95/1,372.42
  6. Step 6: Final answer
    x = 1,080.72

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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.