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Finding the Fourth Proportional to 2,598.49, 3,585.94 and 1,419.56

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Solution

The fourth proportional to 2,598.49, 3,585.94 and 1,419.56 is: 1,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.49 : 3,585.94 = 1,419.56 : x
  2. Step 2: Convert to fraction form
    2,598.49/3,585.94 = 1,419.56/x
  3. Step 3: Cross multiply
    2,598.49x = 3,585.94 × 1,419.56
  4. Step 4: Simplify right side
    2,598.49x = 5,090,444.39
  5. Step 5: Solve for x
    x = 5,090,444.39/2,598.49
  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.