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Finding the Fourth Proportional to 2,360.35, 3,540.53 and 716.91

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Solution

The fourth proportional to 2,360.35, 3,540.53 and 716.91 is: 1,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.35 : 3,540.53 = 716.91 : x
  2. Step 2: Convert to fraction form
    2,360.35/3,540.53 = 716.91/x
  3. Step 3: Cross multiply
    2,360.35x = 3,540.53 × 716.91
  4. Step 4: Simplify right side
    2,360.35x = 2,538,220.08
  5. Step 5: Solve for x
    x = 2,538,220.08/2,360.35
  6. Step 6: Final answer
    x = 1,075.36

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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.