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Finding the Fourth Proportional to 2,330.46, 3,216 and 1,268.21

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Solution

The fourth proportional to 2,330.46, 3,216 and 1,268.21 is: 1,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.46 : 3,216 = 1,268.21 : x
  2. Step 2: Convert to fraction form
    2,330.46/3,216 = 1,268.21/x
  3. Step 3: Cross multiply
    2,330.46x = 3,216 × 1,268.21
  4. Step 4: Simplify right side
    2,330.46x = 4,078,547.28
  5. Step 5: Solve for x
    x = 4,078,547.28/2,330.46
  6. Step 6: Final answer
    x = 1,750.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.