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Finding the Fourth Proportional to 1,899.89, 2,849.82 and 583.64

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Solution

The fourth proportional to 1,899.89, 2,849.82 and 583.64 is: 875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.89 : 2,849.82 = 583.64 : x
  2. Step 2: Convert to fraction form
    1,899.89/2,849.82 = 583.64/x
  3. Step 3: Cross multiply
    1,899.89x = 2,849.82 × 583.64
  4. Step 4: Simplify right side
    1,899.89x = 1,663,268.94
  5. Step 5: Solve for x
    x = 1,663,268.94/1,899.89
  6. Step 6: Final answer
    x = 875.46

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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.