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Finding the Fourth Proportional to 1,436.43, 2,154.65 and 410.43

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Solution

The fourth proportional to 1,436.43, 2,154.65 and 410.43 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.43 : 2,154.65 = 410.43 : x
  2. Step 2: Convert to fraction form
    1,436.43/2,154.65 = 410.43/x
  3. Step 3: Cross multiply
    1,436.43x = 2,154.65 × 410.43
  4. Step 4: Simplify right side
    1,436.43x = 884,330.95
  5. Step 5: Solve for x
    x = 884,330.95/1,436.43
  6. Step 6: Final answer
    x = 615.65

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