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Finding the Fourth Proportional to 3,232, 4,460.16 and 1,760

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Solution

The fourth proportional to 3,232, 4,460.16 and 1,760 is: 2,428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232 : 4,460.16 = 1,760 : x
  2. Step 2: Convert to fraction form
    3,232/4,460.16 = 1,760/x
  3. Step 3: Cross multiply
    3,232x = 4,460.16 × 1,760
  4. Step 4: Simplify right side
    3,232x = 7,849,881.60
  5. Step 5: Solve for x
    x = 7,849,881.60/3,232
  6. Step 6: Final answer
    x = 2,428.80

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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.