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Finding the Fourth Proportional to 1,988.38, 2,980.38 and 755.02

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Solution

The fourth proportional to 1,988.38, 2,980.38 and 755.02 is: 1,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.38 : 2,980.38 = 755.02 : x
  2. Step 2: Convert to fraction form
    1,988.38/2,980.38 = 755.02/x
  3. Step 3: Cross multiply
    1,988.38x = 2,980.38 × 755.02
  4. Step 4: Simplify right side
    1,988.38x = 2,250,246.51
  5. Step 5: Solve for x
    x = 2,250,246.51/1,988.38
  6. Step 6: Final answer
    x = 1,131.70

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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.