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Finding the Fourth Proportional to 1,900.61, 2,847.64 and 1,708.00

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Solution

The fourth proportional to 1,900.61, 2,847.64 and 1,708.00 is: 2,559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.61 : 2,847.64 = 1,708.00 : x
  2. Step 2: Convert to fraction form
    1,900.61/2,847.64 = 1,708.00/x
  3. Step 3: Cross multiply
    1,900.61x = 2,847.64 × 1,708.00
  4. Step 4: Simplify right side
    1,900.61x = 4,863,768.41
  5. Step 5: Solve for x
    x = 4,863,768.41/1,900.61
  6. Step 6: Final answer
    x = 2,559.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.