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Finding the Fourth Proportional to 1,869.72, 2,806.32 and 945.93

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Solution

The fourth proportional to 1,869.72, 2,806.32 and 945.93 is: 1,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.72 : 2,806.32 = 945.93 : x
  2. Step 2: Convert to fraction form
    1,869.72/2,806.32 = 945.93/x
  3. Step 3: Cross multiply
    1,869.72x = 2,806.32 × 945.93
  4. Step 4: Simplify right side
    1,869.72x = 2,654,577.55
  5. Step 5: Solve for x
    x = 2,654,577.55/1,869.72
  6. Step 6: Final answer
    x = 1,419.77

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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.