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Finding the Fourth Proportional to 2,049.93, 3,075.12 and 954.63

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Solution

The fourth proportional to 2,049.93, 3,075.12 and 954.63 is: 1,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.93 : 3,075.12 = 954.63 : x
  2. Step 2: Convert to fraction form
    2,049.93/3,075.12 = 954.63/x
  3. Step 3: Cross multiply
    2,049.93x = 3,075.12 × 954.63
  4. Step 4: Simplify right side
    2,049.93x = 2,935,601.81
  5. Step 5: Solve for x
    x = 2,935,601.81/2,049.93
  6. Step 6: Final answer
    x = 1,432.05

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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.