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Finding the Fourth Proportional to 2,598.69, 3,585.58 and 1,604.01

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Solution

The fourth proportional to 2,598.69, 3,585.58 and 1,604.01 is: 2,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.69 : 3,585.58 = 1,604.01 : x
  2. Step 2: Convert to fraction form
    2,598.69/3,585.58 = 1,604.01/x
  3. Step 3: Cross multiply
    2,598.69x = 3,585.58 × 1,604.01
  4. Step 4: Simplify right side
    2,598.69x = 5,751,306.18
  5. Step 5: Solve for x
    x = 5,751,306.18/2,598.69
  6. Step 6: Final answer
    x = 2,213.16

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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.