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Finding the Fourth Proportional to 2,375.60, 3,543.22 and 2,064.98

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Solution

The fourth proportional to 2,375.60, 3,543.22 and 2,064.98 is: 3,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.60 : 3,543.22 = 2,064.98 : x
  2. Step 2: Convert to fraction form
    2,375.60/3,543.22 = 2,064.98/x
  3. Step 3: Cross multiply
    2,375.60x = 3,543.22 × 2,064.98
  4. Step 4: Simplify right side
    2,375.60x = 7,316,666.24
  5. Step 5: Solve for x
    x = 7,316,666.24/2,375.60
  6. Step 6: Final answer
    x = 3,079.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.