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Finding the Fourth Proportional to 1,493.54, 2,059.79 and 1,045.19

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Solution

The fourth proportional to 1,493.54, 2,059.79 and 1,045.19 is: 1,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.54 : 2,059.79 = 1,045.19 : x
  2. Step 2: Convert to fraction form
    1,493.54/2,059.79 = 1,045.19/x
  3. Step 3: Cross multiply
    1,493.54x = 2,059.79 × 1,045.19
  4. Step 4: Simplify right side
    1,493.54x = 2,152,863.19
  5. Step 5: Solve for x
    x = 2,152,863.19/1,493.54
  6. Step 6: Final answer
    x = 1,441.45

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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.