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Finding the Fourth Proportional to 1,635.62, 2,256.93 and 972.23

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Solution

The fourth proportional to 1,635.62, 2,256.93 and 972.23 is: 1,341.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.62 : 2,256.93 = 972.23 : x
  2. Step 2: Convert to fraction form
    1,635.62/2,256.93 = 972.23/x
  3. Step 3: Cross multiply
    1,635.62x = 2,256.93 × 972.23
  4. Step 4: Simplify right side
    1,635.62x = 2,194,243.77
  5. Step 5: Solve for x
    x = 2,194,243.77/1,635.62
  6. Step 6: Final answer
    x = 1,341.54

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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.