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Finding the Fourth Proportional to 2,322.76, 3,483.84 and 591.28

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Solution

The fourth proportional to 2,322.76, 3,483.84 and 591.28 is: 886.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.76 : 3,483.84 = 591.28 : x
  2. Step 2: Convert to fraction form
    2,322.76/3,483.84 = 591.28/x
  3. Step 3: Cross multiply
    2,322.76x = 3,483.84 × 591.28
  4. Step 4: Simplify right side
    2,322.76x = 2,059,924.92
  5. Step 5: Solve for x
    x = 2,059,924.92/2,322.76
  6. Step 6: Final answer
    x = 886.84

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Why These Related Problems?

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