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Finding the Fourth Proportional to 2,925.04, 4,037 and 1,682.96

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Solution

The fourth proportional to 2,925.04, 4,037 and 1,682.96 is: 2,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.04 : 4,037 = 1,682.96 : x
  2. Step 2: Convert to fraction form
    2,925.04/4,037 = 1,682.96/x
  3. Step 3: Cross multiply
    2,925.04x = 4,037 × 1,682.96
  4. Step 4: Simplify right side
    2,925.04x = 6,794,109.52
  5. Step 5: Solve for x
    x = 6,794,109.52/2,925.04
  6. Step 6: Final answer
    x = 2,322.74

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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.