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Finding the Fourth Proportional to 1,602.93, 2,391.33 and 1,562.23

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Solution

The fourth proportional to 1,602.93, 2,391.33 and 1,562.23 is: 2,330.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.93 : 2,391.33 = 1,562.23 : x
  2. Step 2: Convert to fraction form
    1,602.93/2,391.33 = 1,562.23/x
  3. Step 3: Cross multiply
    1,602.93x = 2,391.33 × 1,562.23
  4. Step 4: Simplify right side
    1,602.93x = 3,735,801.49
  5. Step 5: Solve for x
    x = 3,735,801.49/1,602.93
  6. Step 6: Final answer
    x = 2,330.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.