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Finding the Fourth Proportional to 2,896.98, 4,347.06 and 1,580.68

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Solution

The fourth proportional to 2,896.98, 4,347.06 and 1,580.68 is: 2,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.98 : 4,347.06 = 1,580.68 : x
  2. Step 2: Convert to fraction form
    2,896.98/4,347.06 = 1,580.68/x
  3. Step 3: Cross multiply
    2,896.98x = 4,347.06 × 1,580.68
  4. Step 4: Simplify right side
    2,896.98x = 6,871,294.75
  5. Step 5: Solve for x
    x = 6,871,294.75/2,896.98
  6. Step 6: Final answer
    x = 2,371.89

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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.