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Finding the Fourth Proportional to 2,017.76, 2,784.49 and 1,121.50

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Solution

The fourth proportional to 2,017.76, 2,784.49 and 1,121.50 is: 1,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.76 : 2,784.49 = 1,121.50 : x
  2. Step 2: Convert to fraction form
    2,017.76/2,784.49 = 1,121.50/x
  3. Step 3: Cross multiply
    2,017.76x = 2,784.49 × 1,121.50
  4. Step 4: Simplify right side
    2,017.76x = 3,122,817.99
  5. Step 5: Solve for x
    x = 3,122,817.99/2,017.76
  6. Step 6: Final answer
    x = 1,547.67

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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.