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Finding the Fourth Proportional to 1,615.66, 2,423.31 and 461.38

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Solution

The fourth proportional to 1,615.66, 2,423.31 and 461.38 is: 692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.66 : 2,423.31 = 461.38 : x
  2. Step 2: Convert to fraction form
    1,615.66/2,423.31 = 461.38/x
  3. Step 3: Cross multiply
    1,615.66x = 2,423.31 × 461.38
  4. Step 4: Simplify right side
    1,615.66x = 1,118,066.77
  5. Step 5: Solve for x
    x = 1,118,066.77/1,615.66
  6. Step 6: Final answer
    x = 692.02

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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.