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Finding the Fourth Proportional to 2,856.98, 3,942.70 and 1,598.00

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Solution

The fourth proportional to 2,856.98, 3,942.70 and 1,598.00 is: 2,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.98 : 3,942.70 = 1,598.00 : x
  2. Step 2: Convert to fraction form
    2,856.98/3,942.70 = 1,598.00/x
  3. Step 3: Cross multiply
    2,856.98x = 3,942.70 × 1,598.00
  4. Step 4: Simplify right side
    2,856.98x = 6,300,440.46
  5. Step 5: Solve for x
    x = 6,300,440.46/2,856.98
  6. Step 6: Final answer
    x = 2,205.28

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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.