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Finding the Fourth Proportional to 2,228.64, 3,342.65 and 585.32

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Solution

The fourth proportional to 2,228.64, 3,342.65 and 585.32 is: 877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.64 : 3,342.65 = 585.32 : x
  2. Step 2: Convert to fraction form
    2,228.64/3,342.65 = 585.32/x
  3. Step 3: Cross multiply
    2,228.64x = 3,342.65 × 585.32
  4. Step 4: Simplify right side
    2,228.64x = 1,956,500.26
  5. Step 5: Solve for x
    x = 1,956,500.26/2,228.64
  6. Step 6: Final answer
    x = 877.89

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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.