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Finding the Fourth Proportional to 1,640.72, 2,461.53 and 716.36

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Solution

The fourth proportional to 1,640.72, 2,461.53 and 716.36 is: 1,074.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.72 : 2,461.53 = 716.36 : x
  2. Step 2: Convert to fraction form
    1,640.72/2,461.53 = 716.36/x
  3. Step 3: Cross multiply
    1,640.72x = 2,461.53 × 716.36
  4. Step 4: Simplify right side
    1,640.72x = 1,763,341.63
  5. Step 5: Solve for x
    x = 1,763,341.63/1,640.72
  6. Step 6: Final answer
    x = 1,074.74

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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.