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Finding the Fourth Proportional to 2,597.83, 3,584.70 and 1,478.62

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Solution

The fourth proportional to 2,597.83, 3,584.70 and 1,478.62 is: 2,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.83 : 3,584.70 = 1,478.62 : x
  2. Step 2: Convert to fraction form
    2,597.83/3,584.70 = 1,478.62/x
  3. Step 3: Cross multiply
    2,597.83x = 3,584.70 × 1,478.62
  4. Step 4: Simplify right side
    2,597.83x = 5,300,409.11
  5. Step 5: Solve for x
    x = 5,300,409.11/2,597.83
  6. Step 6: Final answer
    x = 2,040.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.