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Finding the Fourth Proportional to 3,113.58, 4,671.74 and 1,652.85

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Solution

The fourth proportional to 3,113.58, 4,671.74 and 1,652.85 is: 2,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.58 : 4,671.74 = 1,652.85 : x
  2. Step 2: Convert to fraction form
    3,113.58/4,671.74 = 1,652.85/x
  3. Step 3: Cross multiply
    3,113.58x = 4,671.74 × 1,652.85
  4. Step 4: Simplify right side
    3,113.58x = 7,721,677.19
  5. Step 5: Solve for x
    x = 7,721,677.19/3,113.58
  6. Step 6: Final answer
    x = 2,480.00

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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.