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Finding the Fourth Proportional to 1,653.81, 2,293.94 and 1,594.71

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Solution

The fourth proportional to 1,653.81, 2,293.94 and 1,594.71 is: 2,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653.81 : 2,293.94 = 1,594.71 : x
  2. Step 2: Convert to fraction form
    1,653.81/2,293.94 = 1,594.71/x
  3. Step 3: Cross multiply
    1,653.81x = 2,293.94 × 1,594.71
  4. Step 4: Simplify right side
    1,653.81x = 3,658,161.08
  5. Step 5: Solve for x
    x = 3,658,161.08/1,653.81
  6. Step 6: Final answer
    x = 2,211.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.