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Finding the Fourth Proportional to 1,634.28, 2,445.28 and 973.72

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Solution

The fourth proportional to 1,634.28, 2,445.28 and 973.72 is: 1,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.28 : 2,445.28 = 973.72 : x
  2. Step 2: Convert to fraction form
    1,634.28/2,445.28 = 973.72/x
  3. Step 3: Cross multiply
    1,634.28x = 2,445.28 × 973.72
  4. Step 4: Simplify right side
    1,634.28x = 2,381,018.04
  5. Step 5: Solve for x
    x = 2,381,018.04/1,634.28
  6. Step 6: Final answer
    x = 1,456.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.