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Finding the Fourth Proportional to 2,304.43, 3,457.46 and 1,006

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Solution

The fourth proportional to 2,304.43, 3,457.46 and 1,006 is: 1,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.43 : 3,457.46 = 1,006 : x
  2. Step 2: Convert to fraction form
    2,304.43/3,457.46 = 1,006/x
  3. Step 3: Cross multiply
    2,304.43x = 3,457.46 × 1,006
  4. Step 4: Simplify right side
    2,304.43x = 3,478,204.76
  5. Step 5: Solve for x
    x = 3,478,204.76/2,304.43
  6. Step 6: Final answer
    x = 1,509.36

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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.