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Finding the Fourth Proportional to 2,130.03, 3,194.57 and 591.15

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Solution

The fourth proportional to 2,130.03, 3,194.57 and 591.15 is: 886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.03 : 3,194.57 = 591.15 : x
  2. Step 2: Convert to fraction form
    2,130.03/3,194.57 = 591.15/x
  3. Step 3: Cross multiply
    2,130.03x = 3,194.57 × 591.15
  4. Step 4: Simplify right side
    2,130.03x = 1,888,467.10
  5. Step 5: Solve for x
    x = 1,888,467.10/2,130.03
  6. Step 6: Final answer
    x = 886.59

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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.