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Finding the Fourth Proportional to 2,598.65, 3,586.16 and 1,419.74

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Solution

The fourth proportional to 2,598.65, 3,586.16 and 1,419.74 is: 1,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.65 : 3,586.16 = 1,419.74 : x
  2. Step 2: Convert to fraction form
    2,598.65/3,586.16 = 1,419.74/x
  3. Step 3: Cross multiply
    2,598.65x = 3,586.16 × 1,419.74
  4. Step 4: Simplify right side
    2,598.65x = 5,091,414.80
  5. Step 5: Solve for x
    x = 5,091,414.80/2,598.65
  6. Step 6: Final answer
    x = 1,959.25

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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.