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Finding the Fourth Proportional to 1,884.70, 2,603.84 and 1,298.36

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Solution

The fourth proportional to 1,884.70, 2,603.84 and 1,298.36 is: 1,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.70 : 2,603.84 = 1,298.36 : x
  2. Step 2: Convert to fraction form
    1,884.70/2,603.84 = 1,298.36/x
  3. Step 3: Cross multiply
    1,884.70x = 2,603.84 × 1,298.36
  4. Step 4: Simplify right side
    1,884.70x = 3,380,715.21
  5. Step 5: Solve for x
    x = 3,380,715.21/1,884.70
  6. Step 6: Final answer
    x = 1,793.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.