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Finding the Fourth Proportional to 1,633.89, 2,254.51 and 970.72

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Solution

The fourth proportional to 1,633.89, 2,254.51 and 970.72 is: 1,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.89 : 2,254.51 = 970.72 : x
  2. Step 2: Convert to fraction form
    1,633.89/2,254.51 = 970.72/x
  3. Step 3: Cross multiply
    1,633.89x = 2,254.51 × 970.72
  4. Step 4: Simplify right side
    1,633.89x = 2,188,495.52
  5. Step 5: Solve for x
    x = 2,188,495.52/1,633.89
  6. Step 6: Final answer
    x = 1,339.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.