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Finding the Fourth Proportional to 2,303.79, 3,455.64 and 572.43

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Solution

The fourth proportional to 2,303.79, 3,455.64 and 572.43 is: 858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.79 : 3,455.64 = 572.43 : x
  2. Step 2: Convert to fraction form
    2,303.79/3,455.64 = 572.43/x
  3. Step 3: Cross multiply
    2,303.79x = 3,455.64 × 572.43
  4. Step 4: Simplify right side
    2,303.79x = 1,978,112.01
  5. Step 5: Solve for x
    x = 1,978,112.01/2,303.79
  6. Step 6: Final answer
    x = 858.63

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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.