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Finding the Fourth Proportional to 2,538.83, 3,503.72 and 1,530.86

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Solution

The fourth proportional to 2,538.83, 3,503.72 and 1,530.86 is: 2,112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.83 : 3,503.72 = 1,530.86 : x
  2. Step 2: Convert to fraction form
    2,538.83/3,503.72 = 1,530.86/x
  3. Step 3: Cross multiply
    2,538.83x = 3,503.72 × 1,530.86
  4. Step 4: Simplify right side
    2,538.83x = 5,363,704.80
  5. Step 5: Solve for x
    x = 5,363,704.80/2,538.83
  6. Step 6: Final answer
    x = 2,112.67

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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.