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Finding the Fourth Proportional to 2,276.90, 3,415.38 and 716.87

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Solution

The fourth proportional to 2,276.90, 3,415.38 and 716.87 is: 1,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.90 : 3,415.38 = 716.87 : x
  2. Step 2: Convert to fraction form
    2,276.90/3,415.38 = 716.87/x
  3. Step 3: Cross multiply
    2,276.90x = 3,415.38 × 716.87
  4. Step 4: Simplify right side
    2,276.90x = 2,448,392.00
  5. Step 5: Solve for x
    x = 2,448,392.00/2,276.90
  6. Step 6: Final answer
    x = 1,075.32

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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.