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Finding the Fourth Proportional to 2,593.70, 3,579.53 and 1,585.34

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Solution

The fourth proportional to 2,593.70, 3,579.53 and 1,585.34 is: 2,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.70 : 3,579.53 = 1,585.34 : x
  2. Step 2: Convert to fraction form
    2,593.70/3,579.53 = 1,585.34/x
  3. Step 3: Cross multiply
    2,593.70x = 3,579.53 × 1,585.34
  4. Step 4: Simplify right side
    2,593.70x = 5,674,758.16
  5. Step 5: Solve for x
    x = 5,674,758.16/2,593.70
  6. Step 6: Final answer
    x = 2,187.90

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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.