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Finding the Fourth Proportional to 2,459.50, 3,688.80 and 815.86

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Solution

The fourth proportional to 2,459.50, 3,688.80 and 815.86 is: 1,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.50 : 3,688.80 = 815.86 : x
  2. Step 2: Convert to fraction form
    2,459.50/3,688.80 = 815.86/x
  3. Step 3: Cross multiply
    2,459.50x = 3,688.80 × 815.86
  4. Step 4: Simplify right side
    2,459.50x = 3,009,544.37
  5. Step 5: Solve for x
    x = 3,009,544.37/2,459.50
  6. Step 6: Final answer
    x = 1,223.64

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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.