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Finding the Fourth Proportional to 2,896.71, 4,346.45 and 1,435.53

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Solution

The fourth proportional to 2,896.71, 4,346.45 and 1,435.53 is: 2,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.71 : 4,346.45 = 1,435.53 : x
  2. Step 2: Convert to fraction form
    2,896.71/4,346.45 = 1,435.53/x
  3. Step 3: Cross multiply
    2,896.71x = 4,346.45 × 1,435.53
  4. Step 4: Simplify right side
    2,896.71x = 6,239,459.37
  5. Step 5: Solve for x
    x = 6,239,459.37/2,896.71
  6. Step 6: Final answer
    x = 2,153.98

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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.