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Finding the Fourth Proportional to 4,465, 6,697.98 and 2,000.92

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Solution

The fourth proportional to 4,465, 6,697.98 and 2,000.92 is: 3,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465 : 6,697.98 = 2,000.92 : x
  2. Step 2: Convert to fraction form
    4,465/6,697.98 = 2,000.92/x
  3. Step 3: Cross multiply
    4,465x = 6,697.98 × 2,000.92
  4. Step 4: Simplify right side
    4,465x = 13,402,122.14
  5. Step 5: Solve for x
    x = 13,402,122.14/4,465
  6. Step 6: Final answer
    x = 3,001.60

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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.