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Finding the Fourth Proportional to 1,938.15, 2,905.76 and 964.94

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Solution

The fourth proportional to 1,938.15, 2,905.76 and 964.94 is: 1,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.15 : 2,905.76 = 964.94 : x
  2. Step 2: Convert to fraction form
    1,938.15/2,905.76 = 964.94/x
  3. Step 3: Cross multiply
    1,938.15x = 2,905.76 × 964.94
  4. Step 4: Simplify right side
    1,938.15x = 2,803,871.94
  5. Step 5: Solve for x
    x = 2,803,871.94/1,938.15
  6. Step 6: Final answer
    x = 1,446.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.