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Finding the Fourth Proportional to 2,598.09, 3,585.30 and 1,419.16

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Solution

The fourth proportional to 2,598.09, 3,585.30 and 1,419.16 is: 1,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.09 : 3,585.30 = 1,419.16 : x
  2. Step 2: Convert to fraction form
    2,598.09/3,585.30 = 1,419.16/x
  3. Step 3: Cross multiply
    2,598.09x = 3,585.30 × 1,419.16
  4. Step 4: Simplify right side
    2,598.09x = 5,088,126.86
  5. Step 5: Solve for x
    x = 5,088,126.86/2,598.09
  6. Step 6: Final answer
    x = 1,958.41

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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.