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Finding the Fourth Proportional to 2,350.74, 3,525.00 and 868.94

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Solution

The fourth proportional to 2,350.74, 3,525.00 and 868.94 is: 1,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.74 : 3,525.00 = 868.94 : x
  2. Step 2: Convert to fraction form
    2,350.74/3,525.00 = 868.94/x
  3. Step 3: Cross multiply
    2,350.74x = 3,525.00 × 868.94
  4. Step 4: Simplify right side
    2,350.74x = 3,063,000.81
  5. Step 5: Solve for x
    x = 3,063,000.81/2,350.74
  6. Step 6: Final answer
    x = 1,303.00

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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.