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Finding the Fourth Proportional to 2,591.01, 3,575.60 and 1,412.08

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Solution

The fourth proportional to 2,591.01, 3,575.60 and 1,412.08 is: 1,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.01 : 3,575.60 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    2,591.01/3,575.60 = 1,412.08/x
  3. Step 3: Cross multiply
    2,591.01x = 3,575.60 × 1,412.08
  4. Step 4: Simplify right side
    2,591.01x = 5,049,033.25
  5. Step 5: Solve for x
    x = 5,049,033.25/2,591.01
  6. Step 6: Final answer
    x = 1,948.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.