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Finding the Fourth Proportional to 1,605.88, 2,220.78 and 1,576.72

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Solution

The fourth proportional to 1,605.88, 2,220.78 and 1,576.72 is: 2,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.88 : 2,220.78 = 1,576.72 : x
  2. Step 2: Convert to fraction form
    1,605.88/2,220.78 = 1,576.72/x
  3. Step 3: Cross multiply
    1,605.88x = 2,220.78 × 1,576.72
  4. Step 4: Simplify right side
    1,605.88x = 3,501,548.24
  5. Step 5: Solve for x
    x = 3,501,548.24/1,605.88
  6. Step 6: Final answer
    x = 2,180.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.