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Finding the Fourth Proportional to 2,156.94, 3,235.57 and 697.14

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Solution

The fourth proportional to 2,156.94, 3,235.57 and 697.14 is: 1,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.94 : 3,235.57 = 697.14 : x
  2. Step 2: Convert to fraction form
    2,156.94/3,235.57 = 697.14/x
  3. Step 3: Cross multiply
    2,156.94x = 3,235.57 × 697.14
  4. Step 4: Simplify right side
    2,156.94x = 2,255,643.53
  5. Step 5: Solve for x
    x = 2,255,643.53/2,156.94
  6. Step 6: Final answer
    x = 1,045.76

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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.