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Finding the Fourth Proportional to 2,598.08, 3,585.14 and 1,535.78

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Solution

The fourth proportional to 2,598.08, 3,585.14 and 1,535.78 is: 2,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.08 : 3,585.14 = 1,535.78 : x
  2. Step 2: Convert to fraction form
    2,598.08/3,585.14 = 1,535.78/x
  3. Step 3: Cross multiply
    2,598.08x = 3,585.14 × 1,535.78
  4. Step 4: Simplify right side
    2,598.08x = 5,505,986.31
  5. Step 5: Solve for x
    x = 5,505,986.31/2,598.08
  6. Step 6: Final answer
    x = 2,119.25

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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.