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Finding the Fourth Proportional to 1,615.84, 2,423.62 and 461.44

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Solution

The fourth proportional to 1,615.84, 2,423.62 and 461.44 is: 692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.84 : 2,423.62 = 461.44 : x
  2. Step 2: Convert to fraction form
    1,615.84/2,423.62 = 461.44/x
  3. Step 3: Cross multiply
    1,615.84x = 2,423.62 × 461.44
  4. Step 4: Simplify right side
    1,615.84x = 1,118,355.21
  5. Step 5: Solve for x
    x = 1,118,355.21/1,615.84
  6. Step 6: Final answer
    x = 692.12

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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.