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Finding the Fourth Proportional to 1,420.29, 1,960.61 and 954.81

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Solution

The fourth proportional to 1,420.29, 1,960.61 and 954.81 is: 1,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.29 : 1,960.61 = 954.81 : x
  2. Step 2: Convert to fraction form
    1,420.29/1,960.61 = 954.81/x
  3. Step 3: Cross multiply
    1,420.29x = 1,960.61 × 954.81
  4. Step 4: Simplify right side
    1,420.29x = 1,872,005.26
  5. Step 5: Solve for x
    x = 1,872,005.26/1,420.29
  6. Step 6: Final answer
    x = 1,318.04

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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.