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Finding the Fourth Proportional to 2,041.70, 3,062.58 and 580.89

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Solution

The fourth proportional to 2,041.70, 3,062.58 and 580.89 is: 871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.70 : 3,062.58 = 580.89 : x
  2. Step 2: Convert to fraction form
    2,041.70/3,062.58 = 580.89/x
  3. Step 3: Cross multiply
    2,041.70x = 3,062.58 × 580.89
  4. Step 4: Simplify right side
    2,041.70x = 1,779,014.44
  5. Step 5: Solve for x
    x = 1,779,014.44/2,041.70
  6. Step 6: Final answer
    x = 871.34

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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.