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Finding the Fourth Proportional to 2,023.07, 3,034.74 and 790.40

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Solution

The fourth proportional to 2,023.07, 3,034.74 and 790.40 is: 1,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.07 : 3,034.74 = 790.40 : x
  2. Step 2: Convert to fraction form
    2,023.07/3,034.74 = 790.40/x
  3. Step 3: Cross multiply
    2,023.07x = 3,034.74 × 790.40
  4. Step 4: Simplify right side
    2,023.07x = 2,398,658.50
  5. Step 5: Solve for x
    x = 2,398,658.50/2,023.07
  6. Step 6: Final answer
    x = 1,185.65

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1.5x scale

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.