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Finding the Fourth Proportional to 2,042, 3,064.56 and 1,495.60

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Solution

The fourth proportional to 2,042, 3,064.56 and 1,495.60 is: 2,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042 : 3,064.56 = 1,495.60 : x
  2. Step 2: Convert to fraction form
    2,042/3,064.56 = 1,495.60/x
  3. Step 3: Cross multiply
    2,042x = 3,064.56 × 1,495.60
  4. Step 4: Simplify right side
    2,042x = 4,583,355.94
  5. Step 5: Solve for x
    x = 4,583,355.94/2,042
  6. Step 6: Final answer
    x = 2,244.54

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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.