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Finding the Fourth Proportional to 1,429.37, 1,971.95 and 931.83

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Solution

The fourth proportional to 1,429.37, 1,971.95 and 931.83 is: 1,285.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.37 : 1,971.95 = 931.83 : x
  2. Step 2: Convert to fraction form
    1,429.37/1,971.95 = 931.83/x
  3. Step 3: Cross multiply
    1,429.37x = 1,971.95 × 931.83
  4. Step 4: Simplify right side
    1,429.37x = 1,837,517.51
  5. Step 5: Solve for x
    x = 1,837,517.51/1,429.37
  6. Step 6: Final answer
    x = 1,285.55

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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.