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Finding the Fourth Proportional to 2,230.50, 3,345.80 and 587.19

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Solution

The fourth proportional to 2,230.50, 3,345.80 and 587.19 is: 880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.50 : 3,345.80 = 587.19 : x
  2. Step 2: Convert to fraction form
    2,230.50/3,345.80 = 587.19/x
  3. Step 3: Cross multiply
    2,230.50x = 3,345.80 × 587.19
  4. Step 4: Simplify right side
    2,230.50x = 1,964,617.37
  5. Step 5: Solve for x
    x = 1,964,617.37/2,230.50
  6. Step 6: Final answer
    x = 880.80

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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.