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Finding the Fourth Proportional to 3,003, 4,502.64 and 1,154.22

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Solution

The fourth proportional to 3,003, 4,502.64 and 1,154.22 is: 1,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 4,502.64 = 1,154.22 : x
  2. Step 2: Convert to fraction form
    3,003/4,502.64 = 1,154.22/x
  3. Step 3: Cross multiply
    3,003x = 4,502.64 × 1,154.22
  4. Step 4: Simplify right side
    3,003x = 5,197,037.14
  5. Step 5: Solve for x
    x = 5,197,037.14/3,003
  6. Step 6: Final answer
    x = 1,730.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.