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Finding the Fourth Proportional to 3,114.90, 4,671.54 and 1,035.09

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Solution

The fourth proportional to 3,114.90, 4,671.54 and 1,035.09 is: 1,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.90 : 4,671.54 = 1,035.09 : x
  2. Step 2: Convert to fraction form
    3,114.90/4,671.54 = 1,035.09/x
  3. Step 3: Cross multiply
    3,114.90x = 4,671.54 × 1,035.09
  4. Step 4: Simplify right side
    3,114.90x = 4,835,464.34
  5. Step 5: Solve for x
    x = 4,835,464.34/3,114.90
  6. Step 6: Final answer
    x = 1,552.37

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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.