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Finding the Fourth Proportional to 2,059.04, 3,088.02 and 597.80

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Solution

The fourth proportional to 2,059.04, 3,088.02 and 597.80 is: 896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.04 : 3,088.02 = 597.80 : x
  2. Step 2: Convert to fraction form
    2,059.04/3,088.02 = 597.80/x
  3. Step 3: Cross multiply
    2,059.04x = 3,088.02 × 597.80
  4. Step 4: Simplify right side
    2,059.04x = 1,846,018.36
  5. Step 5: Solve for x
    x = 1,846,018.36/2,059.04
  6. Step 6: Final answer
    x = 896.54

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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.