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Finding the Fourth Proportional to 1,681.44, 2,522.40 and 815.64

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Solution

The fourth proportional to 1,681.44, 2,522.40 and 815.64 is: 1,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.44 : 2,522.40 = 815.64 : x
  2. Step 2: Convert to fraction form
    1,681.44/2,522.40 = 815.64/x
  3. Step 3: Cross multiply
    1,681.44x = 2,522.40 × 815.64
  4. Step 4: Simplify right side
    1,681.44x = 2,057,370.34
  5. Step 5: Solve for x
    x = 2,057,370.34/1,681.44
  6. Step 6: Final answer
    x = 1,223.58

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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.