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Finding the Fourth Proportional to 2,889.77, 4,332.01 and 1,040.46

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Solution

The fourth proportional to 2,889.77, 4,332.01 and 1,040.46 is: 1,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.77 : 4,332.01 = 1,040.46 : x
  2. Step 2: Convert to fraction form
    2,889.77/4,332.01 = 1,040.46/x
  3. Step 3: Cross multiply
    2,889.77x = 4,332.01 × 1,040.46
  4. Step 4: Simplify right side
    2,889.77x = 4,507,256.26
  5. Step 5: Solve for x
    x = 4,507,256.26/2,889.77
  6. Step 6: Final answer
    x = 1,559.73

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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.