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Finding the Fourth Proportional to 2,187.90, 3,284.00 and 956.16

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Solution

The fourth proportional to 2,187.90, 3,284.00 and 956.16 is: 1,435.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.90 : 3,284.00 = 956.16 : x
  2. Step 2: Convert to fraction form
    2,187.90/3,284.00 = 956.16/x
  3. Step 3: Cross multiply
    2,187.90x = 3,284.00 × 956.16
  4. Step 4: Simplify right side
    2,187.90x = 3,140,015.41
  5. Step 5: Solve for x
    x = 3,140,015.41/2,187.90
  6. Step 6: Final answer
    x = 1,435.18

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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.