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Finding the Fourth Proportional to 1,306.02, 1,948.88 and 1,189.59

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Solution

The fourth proportional to 1,306.02, 1,948.88 and 1,189.59 is: 1,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.02 : 1,948.88 = 1,189.59 : x
  2. Step 2: Convert to fraction form
    1,306.02/1,948.88 = 1,189.59/x
  3. Step 3: Cross multiply
    1,306.02x = 1,948.88 × 1,189.59
  4. Step 4: Simplify right side
    1,306.02x = 2,318,362.21
  5. Step 5: Solve for x
    x = 2,318,362.21/1,306.02
  6. Step 6: Final answer
    x = 1,775.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.