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Finding the Fourth Proportional to 1,435.51, 1,981.83 and 964.09

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Solution

The fourth proportional to 1,435.51, 1,981.83 and 964.09 is: 1,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.51 : 1,981.83 = 964.09 : x
  2. Step 2: Convert to fraction form
    1,435.51/1,981.83 = 964.09/x
  3. Step 3: Cross multiply
    1,435.51x = 1,981.83 × 964.09
  4. Step 4: Simplify right side
    1,435.51x = 1,910,662.48
  5. Step 5: Solve for x
    x = 1,910,662.48/1,435.51
  6. Step 6: Final answer
    x = 1,331.00

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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.