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Finding the Fourth Proportional to 2,357.64, 3,538.28 and 1,262.92

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Solution

The fourth proportional to 2,357.64, 3,538.28 and 1,262.92 is: 1,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.64 : 3,538.28 = 1,262.92 : x
  2. Step 2: Convert to fraction form
    2,357.64/3,538.28 = 1,262.92/x
  3. Step 3: Cross multiply
    2,357.64x = 3,538.28 × 1,262.92
  4. Step 4: Simplify right side
    2,357.64x = 4,468,564.58
  5. Step 5: Solve for x
    x = 4,468,564.58/2,357.64
  6. Step 6: Final answer
    x = 1,895.35

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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.