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Finding the Fourth Proportional to 3,011.72, 4,516.53 and 1,430.25

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Solution

The fourth proportional to 3,011.72, 4,516.53 and 1,430.25 is: 2,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.72 : 4,516.53 = 1,430.25 : x
  2. Step 2: Convert to fraction form
    3,011.72/4,516.53 = 1,430.25/x
  3. Step 3: Cross multiply
    3,011.72x = 4,516.53 × 1,430.25
  4. Step 4: Simplify right side
    3,011.72x = 6,459,767.03
  5. Step 5: Solve for x
    x = 6,459,767.03/3,011.72
  6. Step 6: Final answer
    x = 2,144.88

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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.