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Finding the Fourth Proportional to 1,938.24, 2,907.54 and 1,114.92

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Solution

The fourth proportional to 1,938.24, 2,907.54 and 1,114.92 is: 1,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938.24 : 2,907.54 = 1,114.92 : x
  2. Step 2: Convert to fraction form
    1,938.24/2,907.54 = 1,114.92/x
  3. Step 3: Cross multiply
    1,938.24x = 2,907.54 × 1,114.92
  4. Step 4: Simplify right side
    1,938.24x = 3,241,674.50
  5. Step 5: Solve for x
    x = 3,241,674.50/1,938.24
  6. Step 6: Final answer
    x = 1,672.48

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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.