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Finding the Fourth Proportional to 2,034.01, 3,050.85 and 647.40

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Solution

The fourth proportional to 2,034.01, 3,050.85 and 647.40 is: 971.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.01 : 3,050.85 = 647.40 : x
  2. Step 2: Convert to fraction form
    2,034.01/3,050.85 = 647.40/x
  3. Step 3: Cross multiply
    2,034.01x = 3,050.85 × 647.40
  4. Step 4: Simplify right side
    2,034.01x = 1,975,120.29
  5. Step 5: Solve for x
    x = 1,975,120.29/2,034.01
  6. Step 6: Final answer
    x = 971.05

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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.