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Finding the Fourth Proportional to 2,598.41, 3,585.87 and 1,419.54

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Solution

The fourth proportional to 2,598.41, 3,585.87 and 1,419.54 is: 1,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.41 : 3,585.87 = 1,419.54 : x
  2. Step 2: Convert to fraction form
    2,598.41/3,585.87 = 1,419.54/x
  3. Step 3: Cross multiply
    2,598.41x = 3,585.87 × 1,419.54
  4. Step 4: Simplify right side
    2,598.41x = 5,090,285.90
  5. Step 5: Solve for x
    x = 5,090,285.90/2,598.41
  6. Step 6: Final answer
    x = 1,959.00

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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.