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Finding the Fourth Proportional to 2,597.03, 3,583.93 and 1,418.12

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Solution

The fourth proportional to 2,597.03, 3,583.93 and 1,418.12 is: 1,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.03 : 3,583.93 = 1,418.12 : x
  2. Step 2: Convert to fraction form
    2,597.03/3,583.93 = 1,418.12/x
  3. Step 3: Cross multiply
    2,597.03x = 3,583.93 × 1,418.12
  4. Step 4: Simplify right side
    2,597.03x = 5,082,442.81
  5. Step 5: Solve for x
    x = 5,082,442.81/2,597.03
  6. Step 6: Final answer
    x = 1,957.02

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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.