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Finding the Fourth Proportional to 2,330.67, 3,494.93 and 869.43

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Solution

The fourth proportional to 2,330.67, 3,494.93 and 869.43 is: 1,303.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.67 : 3,494.93 = 869.43 : x
  2. Step 2: Convert to fraction form
    2,330.67/3,494.93 = 869.43/x
  3. Step 3: Cross multiply
    2,330.67x = 3,494.93 × 869.43
  4. Step 4: Simplify right side
    2,330.67x = 3,038,592.64
  5. Step 5: Solve for x
    x = 3,038,592.64/2,330.67
  6. Step 6: Final answer
    x = 1,303.74

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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.