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Finding the Fourth Proportional to 2,123.48, 2,930.40 and 1,191.98

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Solution

The fourth proportional to 2,123.48, 2,930.40 and 1,191.98 is: 1,644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.48 : 2,930.40 = 1,191.98 : x
  2. Step 2: Convert to fraction form
    2,123.48/2,930.40 = 1,191.98/x
  3. Step 3: Cross multiply
    2,123.48x = 2,930.40 × 1,191.98
  4. Step 4: Simplify right side
    2,123.48x = 3,492,978.19
  5. Step 5: Solve for x
    x = 3,492,978.19/2,123.48
  6. Step 6: Final answer
    x = 1,644.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.