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Finding the Fourth Proportional to 2,154.42, 3,232.65 and 1,059.72

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Solution

The fourth proportional to 2,154.42, 3,232.65 and 1,059.72 is: 1,590.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 3,232.65 = 1,059.72 : x
  2. Step 2: Convert to fraction form
    2,154.42/3,232.65 = 1,059.72/x
  3. Step 3: Cross multiply
    2,154.42x = 3,232.65 × 1,059.72
  4. Step 4: Simplify right side
    2,154.42x = 3,425,703.86
  5. Step 5: Solve for x
    x = 3,425,703.86/2,154.42
  6. Step 6: Final answer
    x = 1,590.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.