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Finding the Fourth Proportional to 2,352.81, 3,529.73 and 709.23

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Solution

The fourth proportional to 2,352.81, 3,529.73 and 709.23 is: 1,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.81 : 3,529.73 = 709.23 : x
  2. Step 2: Convert to fraction form
    2,352.81/3,529.73 = 709.23/x
  3. Step 3: Cross multiply
    2,352.81x = 3,529.73 × 709.23
  4. Step 4: Simplify right side
    2,352.81x = 2,503,386.86
  5. Step 5: Solve for x
    x = 2,503,386.86/2,352.81
  6. Step 6: Final answer
    x = 1,064.00

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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.