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Finding the Fourth Proportional to 1,899.37, 2,848.98 and 667.06

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Solution

The fourth proportional to 1,899.37, 2,848.98 and 667.06 is: 1,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.37 : 2,848.98 = 667.06 : x
  2. Step 2: Convert to fraction form
    1,899.37/2,848.98 = 667.06/x
  3. Step 3: Cross multiply
    1,899.37x = 2,848.98 × 667.06
  4. Step 4: Simplify right side
    1,899.37x = 1,900,440.60
  5. Step 5: Solve for x
    x = 1,900,440.60/1,899.37
  6. Step 6: Final answer
    x = 1,000.56

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1.5x scale

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.