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Finding the Fourth Proportional to 2,286.83, 3,430.24 and 555.45

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Solution

The fourth proportional to 2,286.83, 3,430.24 and 555.45 is: 833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.83 : 3,430.24 = 555.45 : x
  2. Step 2: Convert to fraction form
    2,286.83/3,430.24 = 555.45/x
  3. Step 3: Cross multiply
    2,286.83x = 3,430.24 × 555.45
  4. Step 4: Simplify right side
    2,286.83x = 1,905,326.81
  5. Step 5: Solve for x
    x = 1,905,326.81/2,286.83
  6. Step 6: Final answer
    x = 833.18

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