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Finding the Fourth Proportional to 1,366.40, 2,046.36 and 976.88

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Solution

The fourth proportional to 1,366.40, 2,046.36 and 976.88 is: 1,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.40 : 2,046.36 = 976.88 : x
  2. Step 2: Convert to fraction form
    1,366.40/2,046.36 = 976.88/x
  3. Step 3: Cross multiply
    1,366.40x = 2,046.36 × 976.88
  4. Step 4: Simplify right side
    1,366.40x = 1,999,048.16
  5. Step 5: Solve for x
    x = 1,999,048.16/1,366.40
  6. Step 6: Final answer
    x = 1,463.00

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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.