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Finding the Fourth Proportional to 2,225, 3,070.54 and 1,397

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Solution

The fourth proportional to 2,225, 3,070.54 and 1,397 is: 1,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225 : 3,070.54 = 1,397 : x
  2. Step 2: Convert to fraction form
    2,225/3,070.54 = 1,397/x
  3. Step 3: Cross multiply
    2,225x = 3,070.54 × 1,397
  4. Step 4: Simplify right side
    2,225x = 4,289,544.38
  5. Step 5: Solve for x
    x = 4,289,544.38/2,225
  6. Step 6: Final answer
    x = 1,927.89

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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.