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Finding the Fourth Proportional to 3,113.96, 4,671.06 and 1,034.15

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Solution

The fourth proportional to 3,113.96, 4,671.06 and 1,034.15 is: 1,551.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.96 : 4,671.06 = 1,034.15 : x
  2. Step 2: Convert to fraction form
    3,113.96/4,671.06 = 1,034.15/x
  3. Step 3: Cross multiply
    3,113.96x = 4,671.06 × 1,034.15
  4. Step 4: Simplify right side
    3,113.96x = 4,830,553.34
  5. Step 5: Solve for x
    x = 4,830,553.34/3,113.96
  6. Step 6: Final answer
    x = 1,551.26

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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.