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Finding the Fourth Proportional to 2,357.80, 3,536.70 and 1,262.68

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Solution

The fourth proportional to 2,357.80, 3,536.70 and 1,262.68 is: 1,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.80 : 3,536.70 = 1,262.68 : x
  2. Step 2: Convert to fraction form
    2,357.80/3,536.70 = 1,262.68/x
  3. Step 3: Cross multiply
    2,357.80x = 3,536.70 × 1,262.68
  4. Step 4: Simplify right side
    2,357.80x = 4,465,720.36
  5. Step 5: Solve for x
    x = 4,465,720.36/2,357.80
  6. Step 6: Final answer
    x = 1,894.02

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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.