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Finding the Fourth Proportional to 2,415.80, 3,333.02 and 1,421.32

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Solution

The fourth proportional to 2,415.80, 3,333.02 and 1,421.32 is: 1,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.80 : 3,333.02 = 1,421.32 : x
  2. Step 2: Convert to fraction form
    2,415.80/3,333.02 = 1,421.32/x
  3. Step 3: Cross multiply
    2,415.80x = 3,333.02 × 1,421.32
  4. Step 4: Simplify right side
    2,415.80x = 4,737,287.99
  5. Step 5: Solve for x
    x = 4,737,287.99/2,415.80
  6. Step 6: Final answer
    x = 1,960.96

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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.