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Finding the Fourth Proportional to 2,597.91, 3,583.98 and 1,653.18

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Solution

The fourth proportional to 2,597.91, 3,583.98 and 1,653.18 is: 2,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.91 : 3,583.98 = 1,653.18 : x
  2. Step 2: Convert to fraction form
    2,597.91/3,583.98 = 1,653.18/x
  3. Step 3: Cross multiply
    2,597.91x = 3,583.98 × 1,653.18
  4. Step 4: Simplify right side
    2,597.91x = 5,924,964.06
  5. Step 5: Solve for x
    x = 5,924,964.06/2,597.91
  6. Step 6: Final answer
    x = 2,280.67

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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.