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Finding the Fourth Proportional to 1,634.61, 2,254.73 and 970.97

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Solution

The fourth proportional to 1,634.61, 2,254.73 and 970.97 is: 1,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.61 : 2,254.73 = 970.97 : x
  2. Step 2: Convert to fraction form
    1,634.61/2,254.73 = 970.97/x
  3. Step 3: Cross multiply
    1,634.61x = 2,254.73 × 970.97
  4. Step 4: Simplify right side
    1,634.61x = 2,189,259.06
  5. Step 5: Solve for x
    x = 2,189,259.06/1,634.61
  6. Step 6: Final answer
    x = 1,339.32

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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.