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Finding the Fourth Proportional to 1,456.98, 2,009.98 and 984.72

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Solution

The fourth proportional to 1,456.98, 2,009.98 and 984.72 is: 1,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.98 : 2,009.98 = 984.72 : x
  2. Step 2: Convert to fraction form
    1,456.98/2,009.98 = 984.72/x
  3. Step 3: Cross multiply
    1,456.98x = 2,009.98 × 984.72
  4. Step 4: Simplify right side
    1,456.98x = 1,979,276.27
  5. Step 5: Solve for x
    x = 1,979,276.27/1,456.98
  6. Step 6: Final answer
    x = 1,358.48

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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.