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Finding the Fourth Proportional to 1,650.01, 2,277.01 and 904.00

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Solution

The fourth proportional to 1,650.01, 2,277.01 and 904.00 is: 1,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.01 : 2,277.01 = 904.00 : x
  2. Step 2: Convert to fraction form
    1,650.01/2,277.01 = 904.00/x
  3. Step 3: Cross multiply
    1,650.01x = 2,277.01 × 904.00
  4. Step 4: Simplify right side
    1,650.01x = 2,058,405.65
  5. Step 5: Solve for x
    x = 2,058,405.65/1,650.01
  6. Step 6: Final answer
    x = 1,247.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.