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Finding the Fourth Proportional to 1,650.02, 2,474.93 and 417.42

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Solution

The fourth proportional to 1,650.02, 2,474.93 and 417.42 is: 626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.02 : 2,474.93 = 417.42 : x
  2. Step 2: Convert to fraction form
    1,650.02/2,474.93 = 417.42/x
  3. Step 3: Cross multiply
    1,650.02x = 2,474.93 × 417.42
  4. Step 4: Simplify right side
    1,650.02x = 1,033,083.19
  5. Step 5: Solve for x
    x = 1,033,083.19/1,650.02
  6. Step 6: Final answer
    x = 626.11

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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.