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Finding the Fourth Proportional to 2,852.43, 4,278.39 and 1,003.40

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Solution

The fourth proportional to 2,852.43, 4,278.39 and 1,003.40 is: 1,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852.43 : 4,278.39 = 1,003.40 : x
  2. Step 2: Convert to fraction form
    2,852.43/4,278.39 = 1,003.40/x
  3. Step 3: Cross multiply
    2,852.43x = 4,278.39 × 1,003.40
  4. Step 4: Simplify right side
    2,852.43x = 4,292,915.13
  5. Step 5: Solve for x
    x = 4,292,915.13/2,852.43
  6. Step 6: Final answer
    x = 1,505.00

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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.