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Finding the Fourth Proportional to 2,475.40, 3,709.80 and 913.96

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Solution

The fourth proportional to 2,475.40, 3,709.80 and 913.96 is: 1,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.40 : 3,709.80 = 913.96 : x
  2. Step 2: Convert to fraction form
    2,475.40/3,709.80 = 913.96/x
  3. Step 3: Cross multiply
    2,475.40x = 3,709.80 × 913.96
  4. Step 4: Simplify right side
    2,475.40x = 3,390,608.81
  5. Step 5: Solve for x
    x = 3,390,608.81/2,475.40
  6. Step 6: Final answer
    x = 1,369.72

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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.