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Finding the Fourth Proportional to 1,910.02, 2,863.59 and 984.34

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Solution

The fourth proportional to 1,910.02, 2,863.59 and 984.34 is: 1,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.02 : 2,863.59 = 984.34 : x
  2. Step 2: Convert to fraction form
    1,910.02/2,863.59 = 984.34/x
  3. Step 3: Cross multiply
    1,910.02x = 2,863.59 × 984.34
  4. Step 4: Simplify right side
    1,910.02x = 2,818,746.18
  5. Step 5: Solve for x
    x = 2,818,746.18/1,910.02
  6. Step 6: Final answer
    x = 1,475.77

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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.