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Finding the Fourth Proportional to 2,718.76, 4,075.76 and 963.49

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Solution

The fourth proportional to 2,718.76, 4,075.76 and 963.49 is: 1,444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.76 : 4,075.76 = 963.49 : x
  2. Step 2: Convert to fraction form
    2,718.76/4,075.76 = 963.49/x
  3. Step 3: Cross multiply
    2,718.76x = 4,075.76 × 963.49
  4. Step 4: Simplify right side
    2,718.76x = 3,926,954.00
  5. Step 5: Solve for x
    x = 3,926,954.00/2,718.76
  6. Step 6: Final answer
    x = 1,444.39

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1.5x scale

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.