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Finding the Fourth Proportional to 1,241.46, 1,857.05 and 1,019.58

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Solution

The fourth proportional to 1,241.46, 1,857.05 and 1,019.58 is: 1,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.46 : 1,857.05 = 1,019.58 : x
  2. Step 2: Convert to fraction form
    1,241.46/1,857.05 = 1,019.58/x
  3. Step 3: Cross multiply
    1,241.46x = 1,857.05 × 1,019.58
  4. Step 4: Simplify right side
    1,241.46x = 1,893,411.04
  5. Step 5: Solve for x
    x = 1,893,411.04/1,241.46
  6. Step 6: Final answer
    x = 1,525.15

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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.