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Finding the Fourth Proportional to 2,333.02, 3,499.54 and 578.02

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Solution

The fourth proportional to 2,333.02, 3,499.54 and 578.02 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.02 : 3,499.54 = 578.02 : x
  2. Step 2: Convert to fraction form
    2,333.02/3,499.54 = 578.02/x
  3. Step 3: Cross multiply
    2,333.02x = 3,499.54 × 578.02
  4. Step 4: Simplify right side
    2,333.02x = 2,022,804.11
  5. Step 5: Solve for x
    x = 2,022,804.11/2,333.02
  6. Step 6: Final answer
    x = 867.03

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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.