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Finding the Fourth Proportional to 1,405.84, 2,108.46 and 993.81

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Solution

The fourth proportional to 1,405.84, 2,108.46 and 993.81 is: 1,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.84 : 2,108.46 = 993.81 : x
  2. Step 2: Convert to fraction form
    1,405.84/2,108.46 = 993.81/x
  3. Step 3: Cross multiply
    1,405.84x = 2,108.46 × 993.81
  4. Step 4: Simplify right side
    1,405.84x = 2,095,408.63
  5. Step 5: Solve for x
    x = 2,095,408.63/1,405.84
  6. Step 6: Final answer
    x = 1,490.50

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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.