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Finding the Fourth Proportional to 2,597.16, 3,873.96 and 2,384.88

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Solution

The fourth proportional to 2,597.16, 3,873.96 and 2,384.88 is: 3,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.16 : 3,873.96 = 2,384.88 : x
  2. Step 2: Convert to fraction form
    2,597.16/3,873.96 = 2,384.88/x
  3. Step 3: Cross multiply
    2,597.16x = 3,873.96 × 2,384.88
  4. Step 4: Simplify right side
    2,597.16x = 9,238,929.72
  5. Step 5: Solve for x
    x = 9,238,929.72/2,597.16
  6. Step 6: Final answer
    x = 3,557.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.