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Finding the Fourth Proportional to 2,881.65, 4,328.64 and 2,443.80

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Solution

The fourth proportional to 2,881.65, 4,328.64 and 2,443.80 is: 3,670.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.65 : 4,328.64 = 2,443.80 : x
  2. Step 2: Convert to fraction form
    2,881.65/4,328.64 = 2,443.80/x
  3. Step 3: Cross multiply
    2,881.65x = 4,328.64 × 2,443.80
  4. Step 4: Simplify right side
    2,881.65x = 10,578,330.43
  5. Step 5: Solve for x
    x = 10,578,330.43/2,881.65
  6. Step 6: Final answer
    x = 3,670.93

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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.