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Finding the Fourth Proportional to 1,302.62, 1,944.63 and 1,257.04

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Solution

The fourth proportional to 1,302.62, 1,944.63 and 1,257.04 is: 1,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.62 : 1,944.63 = 1,257.04 : x
  2. Step 2: Convert to fraction form
    1,302.62/1,944.63 = 1,257.04/x
  3. Step 3: Cross multiply
    1,302.62x = 1,944.63 × 1,257.04
  4. Step 4: Simplify right side
    1,302.62x = 2,444,477.70
  5. Step 5: Solve for x
    x = 2,444,477.70/1,302.62
  6. Step 6: Final answer
    x = 1,876.59

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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.