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Finding the Fourth Proportional to 2,368.52, 3,569.51 and 2,137.80

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Solution

The fourth proportional to 2,368.52, 3,569.51 and 2,137.80 is: 3,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.52 : 3,569.51 = 2,137.80 : x
  2. Step 2: Convert to fraction form
    2,368.52/3,569.51 = 2,137.80/x
  3. Step 3: Cross multiply
    2,368.52x = 3,569.51 × 2,137.80
  4. Step 4: Simplify right side
    2,368.52x = 7,630,898.48
  5. Step 5: Solve for x
    x = 7,630,898.48/2,368.52
  6. Step 6: Final answer
    x = 3,221.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.