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Finding the Fourth Proportional to 2,875.84, 4,314.88 and 1,144.96

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Solution

The fourth proportional to 2,875.84, 4,314.88 and 1,144.96 is: 1,717.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.84 : 4,314.88 = 1,144.96 : x
  2. Step 2: Convert to fraction form
    2,875.84/4,314.88 = 1,144.96/x
  3. Step 3: Cross multiply
    2,875.84x = 4,314.88 × 1,144.96
  4. Step 4: Simplify right side
    2,875.84x = 4,940,365.00
  5. Step 5: Solve for x
    x = 4,940,365.00/2,875.84
  6. Step 6: Final answer
    x = 1,717.89

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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.