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Finding the Fourth Proportional to 2,959.37, 4,437.91 and 984.93

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Solution

The fourth proportional to 2,959.37, 4,437.91 and 984.93 is: 1,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.37 : 4,437.91 = 984.93 : x
  2. Step 2: Convert to fraction form
    2,959.37/4,437.91 = 984.93/x
  3. Step 3: Cross multiply
    2,959.37x = 4,437.91 × 984.93
  4. Step 4: Simplify right side
    2,959.37x = 4,371,028.23
  5. Step 5: Solve for x
    x = 4,371,028.23/2,959.37
  6. Step 6: Final answer
    x = 1,477.01

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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.