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Finding the Fourth Proportional to 2,473.94, 3,710.90 and 993.83

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Solution

The fourth proportional to 2,473.94, 3,710.90 and 993.83 is: 1,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.94 : 3,710.90 = 993.83 : x
  2. Step 2: Convert to fraction form
    2,473.94/3,710.90 = 993.83/x
  3. Step 3: Cross multiply
    2,473.94x = 3,710.90 × 993.83
  4. Step 4: Simplify right side
    2,473.94x = 3,688,015.51
  5. Step 5: Solve for x
    x = 3,688,015.51/2,473.94
  6. Step 6: Final answer
    x = 1,490.75

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1.5x scale

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.