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Finding the Fourth Proportional to 1,408.50, 1,941.93 and 1,155.50

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Solution

The fourth proportional to 1,408.50, 1,941.93 and 1,155.50 is: 1,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.50 : 1,941.93 = 1,155.50 : x
  2. Step 2: Convert to fraction form
    1,408.50/1,941.93 = 1,155.50/x
  3. Step 3: Cross multiply
    1,408.50x = 1,941.93 × 1,155.50
  4. Step 4: Simplify right side
    1,408.50x = 2,243,890.41
  5. Step 5: Solve for x
    x = 2,243,890.41/1,408.50
  6. Step 6: Final answer
    x = 1,593.11

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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.