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Finding the Fourth Proportional to 2,047.50, 3,070.89 and 586.35

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Solution

The fourth proportional to 2,047.50, 3,070.89 and 586.35 is: 879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.50 : 3,070.89 = 586.35 : x
  2. Step 2: Convert to fraction form
    2,047.50/3,070.89 = 586.35/x
  3. Step 3: Cross multiply
    2,047.50x = 3,070.89 × 586.35
  4. Step 4: Simplify right side
    2,047.50x = 1,800,616.35
  5. Step 5: Solve for x
    x = 1,800,616.35/2,047.50
  6. Step 6: Final answer
    x = 879.42

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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.