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Finding the Fourth Proportional to 3,113.75, 4,671.56 and 1,264.51

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Solution

The fourth proportional to 3,113.75, 4,671.56 and 1,264.51 is: 1,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.75 : 4,671.56 = 1,264.51 : x
  2. Step 2: Convert to fraction form
    3,113.75/4,671.56 = 1,264.51/x
  3. Step 3: Cross multiply
    3,113.75x = 4,671.56 × 1,264.51
  4. Step 4: Simplify right side
    3,113.75x = 5,907,234.34
  5. Step 5: Solve for x
    x = 5,907,234.34/3,113.75
  6. Step 6: Final answer
    x = 1,897.14

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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.