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Finding the Fourth Proportional to 2,585.61, 3,877.47 and 941.67

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Solution

The fourth proportional to 2,585.61, 3,877.47 and 941.67 is: 1,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.61 : 3,877.47 = 941.67 : x
  2. Step 2: Convert to fraction form
    2,585.61/3,877.47 = 941.67/x
  3. Step 3: Cross multiply
    2,585.61x = 3,877.47 × 941.67
  4. Step 4: Simplify right side
    2,585.61x = 3,651,297.17
  5. Step 5: Solve for x
    x = 3,651,297.17/2,585.61
  6. Step 6: Final answer
    x = 1,412.16

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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.