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Finding the Fourth Proportional to 2,038.40, 3,059.19 and 942.89

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Solution

The fourth proportional to 2,038.40, 3,059.19 and 942.89 is: 1,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.40 : 3,059.19 = 942.89 : x
  2. Step 2: Convert to fraction form
    2,038.40/3,059.19 = 942.89/x
  3. Step 3: Cross multiply
    2,038.40x = 3,059.19 × 942.89
  4. Step 4: Simplify right side
    2,038.40x = 2,884,479.66
  5. Step 5: Solve for x
    x = 2,884,479.66/2,038.40
  6. Step 6: Final answer
    x = 1,415.07

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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.