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Finding the Fourth Proportional to 1,664.89, 2,298.05 and 993.19

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Solution

The fourth proportional to 1,664.89, 2,298.05 and 993.19 is: 1,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.89 : 2,298.05 = 993.19 : x
  2. Step 2: Convert to fraction form
    1,664.89/2,298.05 = 993.19/x
  3. Step 3: Cross multiply
    1,664.89x = 2,298.05 × 993.19
  4. Step 4: Simplify right side
    1,664.89x = 2,282,400.28
  5. Step 5: Solve for x
    x = 2,282,400.28/1,664.89
  6. Step 6: Final answer
    x = 1,370.90

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1.5x scale

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.