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Finding the Fourth Proportional to 2,330.21, 3,495.24 and 686.78

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Solution

The fourth proportional to 2,330.21, 3,495.24 and 686.78 is: 1,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.21 : 3,495.24 = 686.78 : x
  2. Step 2: Convert to fraction form
    2,330.21/3,495.24 = 686.78/x
  3. Step 3: Cross multiply
    2,330.21x = 3,495.24 × 686.78
  4. Step 4: Simplify right side
    2,330.21x = 2,400,460.93
  5. Step 5: Solve for x
    x = 2,400,460.93/2,330.21
  6. Step 6: Final answer
    x = 1,030.15

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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.