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Finding the Fourth Proportional to 1,988.90, 2,980.70 and 1,111.67

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Solution

The fourth proportional to 1,988.90, 2,980.70 and 1,111.67 is: 1,666.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.90 : 2,980.70 = 1,111.67 : x
  2. Step 2: Convert to fraction form
    1,988.90/2,980.70 = 1,111.67/x
  3. Step 3: Cross multiply
    1,988.90x = 2,980.70 × 1,111.67
  4. Step 4: Simplify right side
    1,988.90x = 3,313,566.42
  5. Step 5: Solve for x
    x = 3,313,566.42/1,988.90
  6. Step 6: Final answer
    x = 1,666.03

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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.