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Finding the Fourth Proportional to 1,426.90, 1,970.10 and 896.02

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Solution

The fourth proportional to 1,426.90, 1,970.10 and 896.02 is: 1,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.90 : 1,970.10 = 896.02 : x
  2. Step 2: Convert to fraction form
    1,426.90/1,970.10 = 896.02/x
  3. Step 3: Cross multiply
    1,426.90x = 1,970.10 × 896.02
  4. Step 4: Simplify right side
    1,426.90x = 1,765,249.00
  5. Step 5: Solve for x
    x = 1,765,249.00/1,426.90
  6. Step 6: Final answer
    x = 1,237.12

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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.