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Finding the Fourth Proportional to 2,322.17, 3,479.15 and 1,398.16

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Solution

The fourth proportional to 2,322.17, 3,479.15 and 1,398.16 is: 2,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.17 : 3,479.15 = 1,398.16 : x
  2. Step 2: Convert to fraction form
    2,322.17/3,479.15 = 1,398.16/x
  3. Step 3: Cross multiply
    2,322.17x = 3,479.15 × 1,398.16
  4. Step 4: Simplify right side
    2,322.17x = 4,864,416.21
  5. Step 5: Solve for x
    x = 4,864,416.21/2,322.17
  6. Step 6: Final answer
    x = 2,094.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.