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Finding the Fourth Proportional to 1,652.69, 2,479.03 and 1,543.34

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Solution

The fourth proportional to 1,652.69, 2,479.03 and 1,543.34 is: 2,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.69 : 2,479.03 = 1,543.34 : x
  2. Step 2: Convert to fraction form
    1,652.69/2,479.03 = 1,543.34/x
  3. Step 3: Cross multiply
    1,652.69x = 2,479.03 × 1,543.34
  4. Step 4: Simplify right side
    1,652.69x = 3,825,986.16
  5. Step 5: Solve for x
    x = 3,825,986.16/1,652.69
  6. Step 6: Final answer
    x = 2,315.01

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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.