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Finding the Fourth Proportional to 2,473.94, 3,710.93 and 993.84

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Solution

The fourth proportional to 2,473.94, 3,710.93 and 993.84 is: 1,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.94 : 3,710.93 = 993.84 : x
  2. Step 2: Convert to fraction form
    2,473.94/3,710.93 = 993.84/x
  3. Step 3: Cross multiply
    2,473.94x = 3,710.93 × 993.84
  4. Step 4: Simplify right side
    2,473.94x = 3,688,065.70
  5. Step 5: Solve for x
    x = 3,688,065.70/2,473.94
  6. Step 6: Final answer
    x = 1,490.77

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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.