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Finding the Fourth Proportional to 2,473.90, 3,703.55 and 2,366.98

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Solution

The fourth proportional to 2,473.90, 3,703.55 and 2,366.98 is: 3,543.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.90 : 3,703.55 = 2,366.98 : x
  2. Step 2: Convert to fraction form
    2,473.90/3,703.55 = 2,366.98/x
  3. Step 3: Cross multiply
    2,473.90x = 3,703.55 × 2,366.98
  4. Step 4: Simplify right side
    2,473.90x = 8,766,228.78
  5. Step 5: Solve for x
    x = 8,766,228.78/2,473.90
  6. Step 6: Final answer
    x = 3,543.49

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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.