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Finding the Fourth Proportional to 2,354.07, 3,527.12 and 1,562.88

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Solution

The fourth proportional to 2,354.07, 3,527.12 and 1,562.88 is: 2,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.07 : 3,527.12 = 1,562.88 : x
  2. Step 2: Convert to fraction form
    2,354.07/3,527.12 = 1,562.88/x
  3. Step 3: Cross multiply
    2,354.07x = 3,527.12 × 1,562.88
  4. Step 4: Simplify right side
    2,354.07x = 5,512,473.62
  5. Step 5: Solve for x
    x = 5,512,473.62/2,354.07
  6. Step 6: Final answer
    x = 2,341.67

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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.