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Finding the Fourth Proportional to 1,894.60, 2,840.94 and 1,114.84

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Solution

The fourth proportional to 1,894.60, 2,840.94 and 1,114.84 is: 1,671.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.60 : 2,840.94 = 1,114.84 : x
  2. Step 2: Convert to fraction form
    1,894.60/2,840.94 = 1,114.84/x
  3. Step 3: Cross multiply
    1,894.60x = 2,840.94 × 1,114.84
  4. Step 4: Simplify right side
    1,894.60x = 3,167,193.55
  5. Step 5: Solve for x
    x = 3,167,193.55/1,894.60
  6. Step 6: Final answer
    x = 1,671.70

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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.