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Finding the Fourth Proportional to 2,330.38, 3,495.90 and 687.04

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Solution

The fourth proportional to 2,330.38, 3,495.90 and 687.04 is: 1,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.38 : 3,495.90 = 687.04 : x
  2. Step 2: Convert to fraction form
    2,330.38/3,495.90 = 687.04/x
  3. Step 3: Cross multiply
    2,330.38x = 3,495.90 × 687.04
  4. Step 4: Simplify right side
    2,330.38x = 2,401,823.14
  5. Step 5: Solve for x
    x = 2,401,823.14/2,330.38
  6. Step 6: Final answer
    x = 1,030.66

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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.