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Finding the Fourth Proportional to 2,415.34, 3,333.35 and 1,421.40

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Solution

The fourth proportional to 2,415.34, 3,333.35 and 1,421.40 is: 1,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.34 : 3,333.35 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    2,415.34/3,333.35 = 1,421.40/x
  3. Step 3: Cross multiply
    2,415.34x = 3,333.35 × 1,421.40
  4. Step 4: Simplify right side
    2,415.34x = 4,738,020.99
  5. Step 5: Solve for x
    x = 4,738,020.99/2,415.34
  6. Step 6: Final answer
    x = 1,961.63

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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.