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Finding the Fourth Proportional to 1,634.94, 2,256.41 and 971.80

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Solution

The fourth proportional to 1,634.94, 2,256.41 and 971.80 is: 1,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.94 : 2,256.41 = 971.80 : x
  2. Step 2: Convert to fraction form
    1,634.94/2,256.41 = 971.80/x
  3. Step 3: Cross multiply
    1,634.94x = 2,256.41 × 971.80
  4. Step 4: Simplify right side
    1,634.94x = 2,192,779.24
  5. Step 5: Solve for x
    x = 2,192,779.24/1,634.94
  6. Step 6: Final answer
    x = 1,341.20

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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.