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Finding the Fourth Proportional to 2,114.15, 2,920.49 and 1,527.75

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Solution

The fourth proportional to 2,114.15, 2,920.49 and 1,527.75 is: 2,110.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.15 : 2,920.49 = 1,527.75 : x
  2. Step 2: Convert to fraction form
    2,114.15/2,920.49 = 1,527.75/x
  3. Step 3: Cross multiply
    2,114.15x = 2,920.49 × 1,527.75
  4. Step 4: Simplify right side
    2,114.15x = 4,461,770.96
  5. Step 5: Solve for x
    x = 4,461,770.96/2,114.15
  6. Step 6: Final answer
    x = 2,110.44

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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.