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Finding the Fourth Proportional to 2,002.01, 3,000.14 and 1,570.01

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Solution

The fourth proportional to 2,002.01, 3,000.14 and 1,570.01 is: 2,352.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.01 : 3,000.14 = 1,570.01 : x
  2. Step 2: Convert to fraction form
    2,002.01/3,000.14 = 1,570.01/x
  3. Step 3: Cross multiply
    2,002.01x = 3,000.14 × 1,570.01
  4. Step 4: Simplify right side
    2,002.01x = 4,710,241.95
  5. Step 5: Solve for x
    x = 4,710,241.95/2,002.01
  6. Step 6: Final answer
    x = 2,352.76

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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.