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Finding the Fourth Proportional to 2,060.01, 2,842.00 and 1,220.40

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Solution

The fourth proportional to 2,060.01, 2,842.00 and 1,220.40 is: 1,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.01 : 2,842.00 = 1,220.40 : x
  2. Step 2: Convert to fraction form
    2,060.01/2,842.00 = 1,220.40/x
  3. Step 3: Cross multiply
    2,060.01x = 2,842.00 × 1,220.40
  4. Step 4: Simplify right side
    2,060.01x = 3,468,373.75
  5. Step 5: Solve for x
    x = 3,468,373.75/2,060.01
  6. Step 6: Final answer
    x = 1,683.67

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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.