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Finding the Fourth Proportional to 2,425.38, 3,636.72 and 964.14

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Solution

The fourth proportional to 2,425.38, 3,636.72 and 964.14 is: 1,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.38 : 3,636.72 = 964.14 : x
  2. Step 2: Convert to fraction form
    2,425.38/3,636.72 = 964.14/x
  3. Step 3: Cross multiply
    2,425.38x = 3,636.72 × 964.14
  4. Step 4: Simplify right side
    2,425.38x = 3,506,307.22
  5. Step 5: Solve for x
    x = 3,506,307.22/2,425.38
  6. Step 6: Final answer
    x = 1,445.67

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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.