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Finding the Fourth Proportional to 2,030.98, 2,800.24 and 1,678.33

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Solution

The fourth proportional to 2,030.98, 2,800.24 and 1,678.33 is: 2,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.98 : 2,800.24 = 1,678.33 : x
  2. Step 2: Convert to fraction form
    2,030.98/2,800.24 = 1,678.33/x
  3. Step 3: Cross multiply
    2,030.98x = 2,800.24 × 1,678.33
  4. Step 4: Simplify right side
    2,030.98x = 4,699,704.41
  5. Step 5: Solve for x
    x = 4,699,704.41/2,030.98
  6. Step 6: Final answer
    x = 2,314.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.