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Finding the Fourth Proportional to 1,885.70, 2,602.40 and 1,139.69

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Solution

The fourth proportional to 1,885.70, 2,602.40 and 1,139.69 is: 1,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.70 : 2,602.40 = 1,139.69 : x
  2. Step 2: Convert to fraction form
    1,885.70/2,602.40 = 1,139.69/x
  3. Step 3: Cross multiply
    1,885.70x = 2,602.40 × 1,139.69
  4. Step 4: Simplify right side
    1,885.70x = 2,965,930.06
  5. Step 5: Solve for x
    x = 2,965,930.06/1,885.70
  6. Step 6: Final answer
    x = 1,572.85

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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.