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Finding the Fourth Proportional to 1,416.23, 1,953.77 and 943.67

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Solution

The fourth proportional to 1,416.23, 1,953.77 and 943.67 is: 1,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.23 : 1,953.77 = 943.67 : x
  2. Step 2: Convert to fraction form
    1,416.23/1,953.77 = 943.67/x
  3. Step 3: Cross multiply
    1,416.23x = 1,953.77 × 943.67
  4. Step 4: Simplify right side
    1,416.23x = 1,843,709.81
  5. Step 5: Solve for x
    x = 1,843,709.81/1,416.23
  6. Step 6: Final answer
    x = 1,301.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.