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Finding the Fourth Proportional to 1,418.68, 1,960.50 and 1,156.60

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Solution

The fourth proportional to 1,418.68, 1,960.50 and 1,156.60 is: 1,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.68 : 1,960.50 = 1,156.60 : x
  2. Step 2: Convert to fraction form
    1,418.68/1,960.50 = 1,156.60/x
  3. Step 3: Cross multiply
    1,418.68x = 1,960.50 × 1,156.60
  4. Step 4: Simplify right side
    1,418.68x = 2,267,514.30
  5. Step 5: Solve for x
    x = 2,267,514.30/1,418.68
  6. Step 6: Final answer
    x = 1,598.33

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