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Finding the Fourth Proportional to 2,968.72, 4,457.13 and 1,508.91

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Solution

The fourth proportional to 2,968.72, 4,457.13 and 1,508.91 is: 2,265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.72 : 4,457.13 = 1,508.91 : x
  2. Step 2: Convert to fraction form
    2,968.72/4,457.13 = 1,508.91/x
  3. Step 3: Cross multiply
    2,968.72x = 4,457.13 × 1,508.91
  4. Step 4: Simplify right side
    2,968.72x = 6,725,385.74
  5. Step 5: Solve for x
    x = 6,725,385.74/2,968.72
  6. Step 6: Final answer
    x = 2,265.42

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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.