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Finding the Fourth Proportional to 1,364.72, 2,048.90 and 810.46

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Solution

The fourth proportional to 1,364.72, 2,048.90 and 810.46 is: 1,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.72 : 2,048.90 = 810.46 : x
  2. Step 2: Convert to fraction form
    1,364.72/2,048.90 = 810.46/x
  3. Step 3: Cross multiply
    1,364.72x = 2,048.90 × 810.46
  4. Step 4: Simplify right side
    1,364.72x = 1,660,551.49
  5. Step 5: Solve for x
    x = 1,660,551.49/1,364.72
  6. Step 6: Final answer
    x = 1,216.77

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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.