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Finding the Fourth Proportional to 1,812.90, 2,501.80 and 984.90

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Solution

The fourth proportional to 1,812.90, 2,501.80 and 984.90 is: 1,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.90 : 2,501.80 = 984.90 : x
  2. Step 2: Convert to fraction form
    1,812.90/2,501.80 = 984.90/x
  3. Step 3: Cross multiply
    1,812.90x = 2,501.80 × 984.90
  4. Step 4: Simplify right side
    1,812.90x = 2,464,022.82
  5. Step 5: Solve for x
    x = 2,464,022.82/1,812.90
  6. Step 6: Final answer
    x = 1,359.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.