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Finding the Fourth Proportional to 2,678.71, 4,018.25 and 923.89

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Solution

The fourth proportional to 2,678.71, 4,018.25 and 923.89 is: 1,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.71 : 4,018.25 = 923.89 : x
  2. Step 2: Convert to fraction form
    2,678.71/4,018.25 = 923.89/x
  3. Step 3: Cross multiply
    2,678.71x = 4,018.25 × 923.89
  4. Step 4: Simplify right side
    2,678.71x = 3,712,437.09
  5. Step 5: Solve for x
    x = 3,712,437.09/2,678.71
  6. Step 6: Final answer
    x = 1,385.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.