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Finding the Fourth Proportional to 1,594.64, 2,199.94 and 1,151.56

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Solution

The fourth proportional to 1,594.64, 2,199.94 and 1,151.56 is: 1,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.64 : 2,199.94 = 1,151.56 : x
  2. Step 2: Convert to fraction form
    1,594.64/2,199.94 = 1,151.56/x
  3. Step 3: Cross multiply
    1,594.64x = 2,199.94 × 1,151.56
  4. Step 4: Simplify right side
    1,594.64x = 2,533,362.91
  5. Step 5: Solve for x
    x = 2,533,362.91/1,594.64
  6. Step 6: Final answer
    x = 1,588.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.