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Finding the Fourth Proportional to 3,011.42, 4,516.74 and 1,429.76

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Solution

The fourth proportional to 3,011.42, 4,516.74 and 1,429.76 is: 2,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.42 : 4,516.74 = 1,429.76 : x
  2. Step 2: Convert to fraction form
    3,011.42/4,516.74 = 1,429.76/x
  3. Step 3: Cross multiply
    3,011.42x = 4,516.74 × 1,429.76
  4. Step 4: Simplify right side
    3,011.42x = 6,457,854.18
  5. Step 5: Solve for x
    x = 6,457,854.18/3,011.42
  6. Step 6: Final answer
    x = 2,144.45

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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.