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Finding the Fourth Proportional to 1,502.24, 2,074.39 and 943.67

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Solution

The fourth proportional to 1,502.24, 2,074.39 and 943.67 is: 1,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.24 : 2,074.39 = 943.67 : x
  2. Step 2: Convert to fraction form
    1,502.24/2,074.39 = 943.67/x
  3. Step 3: Cross multiply
    1,502.24x = 2,074.39 × 943.67
  4. Step 4: Simplify right side
    1,502.24x = 1,957,539.61
  5. Step 5: Solve for x
    x = 1,957,539.61/1,502.24
  6. Step 6: Final answer
    x = 1,303.08

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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.