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Finding the Fourth Proportional to 2,595.42, 3,890.82 and 951.59

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Solution

The fourth proportional to 2,595.42, 3,890.82 and 951.59 is: 1,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.42 : 3,890.82 = 951.59 : x
  2. Step 2: Convert to fraction form
    2,595.42/3,890.82 = 951.59/x
  3. Step 3: Cross multiply
    2,595.42x = 3,890.82 × 951.59
  4. Step 4: Simplify right side
    2,595.42x = 3,702,457.46
  5. Step 5: Solve for x
    x = 3,702,457.46/2,595.42
  6. Step 6: Final answer
    x = 1,426.53

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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.