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Finding the Fourth Proportional to 2,543.68, 3,509.85 and 1,495.94

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Solution

The fourth proportional to 2,543.68, 3,509.85 and 1,495.94 is: 2,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.68 : 3,509.85 = 1,495.94 : x
  2. Step 2: Convert to fraction form
    2,543.68/3,509.85 = 1,495.94/x
  3. Step 3: Cross multiply
    2,543.68x = 3,509.85 × 1,495.94
  4. Step 4: Simplify right side
    2,543.68x = 5,250,525.01
  5. Step 5: Solve for x
    x = 5,250,525.01/2,543.68
  6. Step 6: Final answer
    x = 2,064.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.