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Finding the Fourth Proportional to 2,054.56, 3,082.14 and 593.72

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Solution

The fourth proportional to 2,054.56, 3,082.14 and 593.72 is: 890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.56 : 3,082.14 = 593.72 : x
  2. Step 2: Convert to fraction form
    2,054.56/3,082.14 = 593.72/x
  3. Step 3: Cross multiply
    2,054.56x = 3,082.14 × 593.72
  4. Step 4: Simplify right side
    2,054.56x = 1,829,925.19
  5. Step 5: Solve for x
    x = 1,829,925.19/2,054.56
  6. Step 6: Final answer
    x = 890.67

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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.