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Finding the Fourth Proportional to 2,123.60, 3,187.20 and 955.40

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Solution

The fourth proportional to 2,123.60, 3,187.20 and 955.40 is: 1,433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.60 : 3,187.20 = 955.40 : x
  2. Step 2: Convert to fraction form
    2,123.60/3,187.20 = 955.40/x
  3. Step 3: Cross multiply
    2,123.60x = 3,187.20 × 955.40
  4. Step 4: Simplify right side
    2,123.60x = 3,045,050.88
  5. Step 5: Solve for x
    x = 3,045,050.88/2,123.60
  6. Step 6: Final answer
    x = 1,433.91

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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.