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Finding the Fourth Proportional to 1,408.68, 2,111.19 and 945.76

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Solution

The fourth proportional to 1,408.68, 2,111.19 and 945.76 is: 1,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.68 : 2,111.19 = 945.76 : x
  2. Step 2: Convert to fraction form
    1,408.68/2,111.19 = 945.76/x
  3. Step 3: Cross multiply
    1,408.68x = 2,111.19 × 945.76
  4. Step 4: Simplify right side
    1,408.68x = 1,996,679.05
  5. Step 5: Solve for x
    x = 1,996,679.05/1,408.68
  6. Step 6: Final answer
    x = 1,417.41

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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.