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Finding the Fourth Proportional to 2,137.84, 2,924.95 and 2,129.74

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Solution

The fourth proportional to 2,137.84, 2,924.95 and 2,129.74 is: 2,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.84 : 2,924.95 = 2,129.74 : x
  2. Step 2: Convert to fraction form
    2,137.84/2,924.95 = 2,129.74/x
  3. Step 3: Cross multiply
    2,137.84x = 2,924.95 × 2,129.74
  4. Step 4: Simplify right side
    2,137.84x = 6,229,383.01
  5. Step 5: Solve for x
    x = 6,229,383.01/2,137.84
  6. Step 6: Final answer
    x = 2,913.87

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.