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Finding the Fourth Proportional to 2,383.65, 3,289.86 and 1,498.77

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Solution

The fourth proportional to 2,383.65, 3,289.86 and 1,498.77 is: 2,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.65 : 3,289.86 = 1,498.77 : x
  2. Step 2: Convert to fraction form
    2,383.65/3,289.86 = 1,498.77/x
  3. Step 3: Cross multiply
    2,383.65x = 3,289.86 × 1,498.77
  4. Step 4: Simplify right side
    2,383.65x = 4,930,743.47
  5. Step 5: Solve for x
    x = 4,930,743.47/2,383.65
  6. Step 6: Final answer
    x = 2,068.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.