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Finding the Fourth Proportional to 2,590.67, 3,885.39 and 946.77

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Solution

The fourth proportional to 2,590.67, 3,885.39 and 946.77 is: 1,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.67 : 3,885.39 = 946.77 : x
  2. Step 2: Convert to fraction form
    2,590.67/3,885.39 = 946.77/x
  3. Step 3: Cross multiply
    2,590.67x = 3,885.39 × 946.77
  4. Step 4: Simplify right side
    2,590.67x = 3,678,570.69
  5. Step 5: Solve for x
    x = 3,678,570.69/2,590.67
  6. Step 6: Final answer
    x = 1,419.93

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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.