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Finding the Fourth Proportional to 3,036.76, 4,555.68 and 1,393

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Solution

The fourth proportional to 3,036.76, 4,555.68 and 1,393 is: 2,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.76 : 4,555.68 = 1,393 : x
  2. Step 2: Convert to fraction form
    3,036.76/4,555.68 = 1,393/x
  3. Step 3: Cross multiply
    3,036.76x = 4,555.68 × 1,393
  4. Step 4: Simplify right side
    3,036.76x = 6,346,062.24
  5. Step 5: Solve for x
    x = 6,346,062.24/3,036.76
  6. Step 6: Final answer
    x = 2,089.75

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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.