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Finding the Fourth Proportional to 2,028.34, 3,042.80 and 988.40

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Solution

The fourth proportional to 2,028.34, 3,042.80 and 988.40 is: 1,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.34 : 3,042.80 = 988.40 : x
  2. Step 2: Convert to fraction form
    2,028.34/3,042.80 = 988.40/x
  3. Step 3: Cross multiply
    2,028.34x = 3,042.80 × 988.40
  4. Step 4: Simplify right side
    2,028.34x = 3,007,503.52
  5. Step 5: Solve for x
    x = 3,007,503.52/2,028.34
  6. Step 6: Final answer
    x = 1,482.74

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Why These Related Problems?

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