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Finding the Fourth Proportional to 2,993.58, 4,491.29 and 1,533.77

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Solution

The fourth proportional to 2,993.58, 4,491.29 and 1,533.77 is: 2,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.58 : 4,491.29 = 1,533.77 : x
  2. Step 2: Convert to fraction form
    2,993.58/4,491.29 = 1,533.77/x
  3. Step 3: Cross multiply
    2,993.58x = 4,491.29 × 1,533.77
  4. Step 4: Simplify right side
    2,993.58x = 6,888,605.86
  5. Step 5: Solve for x
    x = 6,888,605.86/2,993.58
  6. Step 6: Final answer
    x = 2,301.13

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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.