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Finding the Fourth Proportional to 1,503.06, 2,074.11 and 943.50

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Solution

The fourth proportional to 1,503.06, 2,074.11 and 943.50 is: 1,301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.06 : 2,074.11 = 943.50 : x
  2. Step 2: Convert to fraction form
    1,503.06/2,074.11 = 943.50/x
  3. Step 3: Cross multiply
    1,503.06x = 2,074.11 × 943.50
  4. Step 4: Simplify right side
    1,503.06x = 1,956,922.79
  5. Step 5: Solve for x
    x = 1,956,922.79/1,503.06
  6. Step 6: Final answer
    x = 1,301.96

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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.