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Finding the Fourth Proportional to 2,566.93, 3,542.36 and 1,388

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Solution

The fourth proportional to 2,566.93, 3,542.36 and 1,388 is: 1,915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.93 : 3,542.36 = 1,388 : x
  2. Step 2: Convert to fraction form
    2,566.93/3,542.36 = 1,388/x
  3. Step 3: Cross multiply
    2,566.93x = 3,542.36 × 1,388
  4. Step 4: Simplify right side
    2,566.93x = 4,916,801.75
  5. Step 5: Solve for x
    x = 4,916,801.75/2,566.93
  6. Step 6: Final answer
    x = 1,915.44

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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.