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Finding the Fourth Proportional to 2,598.60, 3,586.12 and 1,419.72

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Solution

The fourth proportional to 2,598.60, 3,586.12 and 1,419.72 is: 1,959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.60 : 3,586.12 = 1,419.72 : x
  2. Step 2: Convert to fraction form
    2,598.60/3,586.12 = 1,419.72/x
  3. Step 3: Cross multiply
    2,598.60x = 3,586.12 × 1,419.72
  4. Step 4: Simplify right side
    2,598.60x = 5,091,286.29
  5. Step 5: Solve for x
    x = 5,091,286.29/2,598.60
  6. Step 6: Final answer
    x = 1,959.24

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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.