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Finding the Fourth Proportional to 2,844.71, 4,267.06 and 1,875.14

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Solution

The fourth proportional to 2,844.71, 4,267.06 and 1,875.14 is: 2,812.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.71 : 4,267.06 = 1,875.14 : x
  2. Step 2: Convert to fraction form
    2,844.71/4,267.06 = 1,875.14/x
  3. Step 3: Cross multiply
    2,844.71x = 4,267.06 × 1,875.14
  4. Step 4: Simplify right side
    2,844.71x = 8,001,334.89
  5. Step 5: Solve for x
    x = 8,001,334.89/2,844.71
  6. Step 6: Final answer
    x = 2,812.71

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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.