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Finding the Fourth Proportional to 2,276.83, 3,415.48 and 716.88

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Solution

The fourth proportional to 2,276.83, 3,415.48 and 716.88 is: 1,075.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.83 : 3,415.48 = 716.88 : x
  2. Step 2: Convert to fraction form
    2,276.83/3,415.48 = 716.88/x
  3. Step 3: Cross multiply
    2,276.83x = 3,415.48 × 716.88
  4. Step 4: Simplify right side
    2,276.83x = 2,448,489.30
  5. Step 5: Solve for x
    x = 2,448,489.30/2,276.83
  6. Step 6: Final answer
    x = 1,075.40

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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.