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Finding the Fourth Proportional to 2,959.95, 4,440 and 1,012.14

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Solution

The fourth proportional to 2,959.95, 4,440 and 1,012.14 is: 1,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.95 : 4,440 = 1,012.14 : x
  2. Step 2: Convert to fraction form
    2,959.95/4,440 = 1,012.14/x
  3. Step 3: Cross multiply
    2,959.95x = 4,440 × 1,012.14
  4. Step 4: Simplify right side
    2,959.95x = 4,493,901.60
  5. Step 5: Solve for x
    x = 4,493,901.60/2,959.95
  6. Step 6: Final answer
    x = 1,518.24

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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.