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Finding the Fourth Proportional to 2,347.65, 3,526.94 and 1,374.43

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Solution

The fourth proportional to 2,347.65, 3,526.94 and 1,374.43 is: 2,064.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.65 : 3,526.94 = 1,374.43 : x
  2. Step 2: Convert to fraction form
    2,347.65/3,526.94 = 1,374.43/x
  3. Step 3: Cross multiply
    2,347.65x = 3,526.94 × 1,374.43
  4. Step 4: Simplify right side
    2,347.65x = 4,847,525.27
  5. Step 5: Solve for x
    x = 4,847,525.27/2,347.65
  6. Step 6: Final answer
    x = 2,064.85

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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.