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Finding the Fourth Proportional to 1,888.44, 2,832.66 and 590.01

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Solution

The fourth proportional to 1,888.44, 2,832.66 and 590.01 is: 885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.44 : 2,832.66 = 590.01 : x
  2. Step 2: Convert to fraction form
    1,888.44/2,832.66 = 590.01/x
  3. Step 3: Cross multiply
    1,888.44x = 2,832.66 × 590.01
  4. Step 4: Simplify right side
    1,888.44x = 1,671,297.73
  5. Step 5: Solve for x
    x = 1,671,297.73/1,888.44
  6. Step 6: Final answer
    x = 885.02

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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.