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Finding the Fourth Proportional to 1,596.57, 2,391.57 and 1,577.13

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Solution

The fourth proportional to 1,596.57, 2,391.57 and 1,577.13 is: 2,362.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.57 : 2,391.57 = 1,577.13 : x
  2. Step 2: Convert to fraction form
    1,596.57/2,391.57 = 1,577.13/x
  3. Step 3: Cross multiply
    1,596.57x = 2,391.57 × 1,577.13
  4. Step 4: Simplify right side
    1,596.57x = 3,771,816.79
  5. Step 5: Solve for x
    x = 3,771,816.79/1,596.57
  6. Step 6: Final answer
    x = 2,362.45

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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.