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Finding the Fourth Proportional to 1,447.69, 2,172.35 and 1,435.94

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Solution

The fourth proportional to 1,447.69, 2,172.35 and 1,435.94 is: 2,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.69 : 2,172.35 = 1,435.94 : x
  2. Step 2: Convert to fraction form
    1,447.69/2,172.35 = 1,435.94/x
  3. Step 3: Cross multiply
    1,447.69x = 2,172.35 × 1,435.94
  4. Step 4: Simplify right side
    1,447.69x = 3,119,364.26
  5. Step 5: Solve for x
    x = 3,119,364.26/1,447.69
  6. Step 6: Final answer
    x = 2,154.72

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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.