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Finding the Fourth Proportional to 1,402.94, 1,938.48 and 1,154.09

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Solution

The fourth proportional to 1,402.94, 1,938.48 and 1,154.09 is: 1,594.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.94 : 1,938.48 = 1,154.09 : x
  2. Step 2: Convert to fraction form
    1,402.94/1,938.48 = 1,154.09/x
  3. Step 3: Cross multiply
    1,402.94x = 1,938.48 × 1,154.09
  4. Step 4: Simplify right side
    1,402.94x = 2,237,180.38
  5. Step 5: Solve for x
    x = 2,237,180.38/1,402.94
  6. Step 6: Final answer
    x = 1,594.64

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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.