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Finding the Fourth Proportional to 1,615.78, 2,423.76 and 461.50

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Solution

The fourth proportional to 1,615.78, 2,423.76 and 461.50 is: 692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.78 : 2,423.76 = 461.50 : x
  2. Step 2: Convert to fraction form
    1,615.78/2,423.76 = 461.50/x
  3. Step 3: Cross multiply
    1,615.78x = 2,423.76 × 461.50
  4. Step 4: Simplify right side
    1,615.78x = 1,118,565.24
  5. Step 5: Solve for x
    x = 1,118,565.24/1,615.78
  6. Step 6: Final answer
    x = 692.28

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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.