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Finding the Fourth Proportional to 2,299.68, 3,444.72 and 1,068.15

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Solution

The fourth proportional to 2,299.68, 3,444.72 and 1,068.15 is: 1,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,444.72 = 1,068.15 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,444.72 = 1,068.15/x
  3. Step 3: Cross multiply
    2,299.68x = 3,444.72 × 1,068.15
  4. Step 4: Simplify right side
    2,299.68x = 3,679,477.67
  5. Step 5: Solve for x
    x = 3,679,477.67/2,299.68
  6. Step 6: Final answer
    x = 1,600.00

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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.