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Finding the Fourth Proportional to 1,295.42, 1,938.46 and 1,114.99

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Solution

The fourth proportional to 1,295.42, 1,938.46 and 1,114.99 is: 1,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.42 : 1,938.46 = 1,114.99 : x
  2. Step 2: Convert to fraction form
    1,295.42/1,938.46 = 1,114.99/x
  3. Step 3: Cross multiply
    1,295.42x = 1,938.46 × 1,114.99
  4. Step 4: Simplify right side
    1,295.42x = 2,161,360.73
  5. Step 5: Solve for x
    x = 2,161,360.73/1,295.42
  6. Step 6: Final answer
    x = 1,668.47

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1.5x scale

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.