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Finding the Fourth Proportional to 2,896.60, 4,347.80 and 1,598.68

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Solution

The fourth proportional to 2,896.60, 4,347.80 and 1,598.68 is: 2,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.60 : 4,347.80 = 1,598.68 : x
  2. Step 2: Convert to fraction form
    2,896.60/4,347.80 = 1,598.68/x
  3. Step 3: Cross multiply
    2,896.60x = 4,347.80 × 1,598.68
  4. Step 4: Simplify right side
    2,896.60x = 6,950,740.90
  5. Step 5: Solve for x
    x = 6,950,740.90/2,896.60
  6. Step 6: Final answer
    x = 2,399.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.