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Finding the Fourth Proportional to 2,925.99, 4,037.94 and 1,747.74

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Solution

The fourth proportional to 2,925.99, 4,037.94 and 1,747.74 is: 2,411.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925.99 : 4,037.94 = 1,747.74 : x
  2. Step 2: Convert to fraction form
    2,925.99/4,037.94 = 1,747.74/x
  3. Step 3: Cross multiply
    2,925.99x = 4,037.94 × 1,747.74
  4. Step 4: Simplify right side
    2,925.99x = 7,057,269.26
  5. Step 5: Solve for x
    x = 7,057,269.26/2,925.99
  6. Step 6: Final answer
    x = 2,411.93

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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.