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Finding the Fourth Proportional to 2,953.56, 4,075.80 and 1,774.80

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Solution

The fourth proportional to 2,953.56, 4,075.80 and 1,774.80 is: 2,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.56 : 4,075.80 = 1,774.80 : x
  2. Step 2: Convert to fraction form
    2,953.56/4,075.80 = 1,774.80/x
  3. Step 3: Cross multiply
    2,953.56x = 4,075.80 × 1,774.80
  4. Step 4: Simplify right side
    2,953.56x = 7,233,729.84
  5. Step 5: Solve for x
    x = 7,233,729.84/2,953.56
  6. Step 6: Final answer
    x = 2,449.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.