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Finding the Fourth Proportional to 3,113.95, 4,671.40 and 1,265.19

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Solution

The fourth proportional to 3,113.95, 4,671.40 and 1,265.19 is: 1,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.95 : 4,671.40 = 1,265.19 : x
  2. Step 2: Convert to fraction form
    3,113.95/4,671.40 = 1,265.19/x
  3. Step 3: Cross multiply
    3,113.95x = 4,671.40 × 1,265.19
  4. Step 4: Simplify right side
    3,113.95x = 5,910,208.57
  5. Step 5: Solve for x
    x = 5,910,208.57/3,113.95
  6. Step 6: Final answer
    x = 1,897.98

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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.