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Finding the Fourth Proportional to 2,598.57, 3,586.05 and 1,419.66

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Solution

The fourth proportional to 2,598.57, 3,586.05 and 1,419.66 is: 1,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.57 : 3,586.05 = 1,419.66 : x
  2. Step 2: Convert to fraction form
    2,598.57/3,586.05 = 1,419.66/x
  3. Step 3: Cross multiply
    2,598.57x = 3,586.05 × 1,419.66
  4. Step 4: Simplify right side
    2,598.57x = 5,090,971.74
  5. Step 5: Solve for x
    x = 5,090,971.74/2,598.57
  6. Step 6: Final answer
    x = 1,959.14

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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.