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Finding the Fourth Proportional to 2,064, 3,096.02 and 602.96

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Solution

The fourth proportional to 2,064, 3,096.02 and 602.96 is: 904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064 : 3,096.02 = 602.96 : x
  2. Step 2: Convert to fraction form
    2,064/3,096.02 = 602.96/x
  3. Step 3: Cross multiply
    2,064x = 3,096.02 × 602.96
  4. Step 4: Simplify right side
    2,064x = 1,866,776.22
  5. Step 5: Solve for x
    x = 1,866,776.22/2,064
  6. Step 6: Final answer
    x = 904.45

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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.