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Finding the Fourth Proportional to 1,655.11, 2,283.45 and 946.42

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Solution

The fourth proportional to 1,655.11, 2,283.45 and 946.42 is: 1,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.11 : 2,283.45 = 946.42 : x
  2. Step 2: Convert to fraction form
    1,655.11/2,283.45 = 946.42/x
  3. Step 3: Cross multiply
    1,655.11x = 2,283.45 × 946.42
  4. Step 4: Simplify right side
    1,655.11x = 2,161,102.75
  5. Step 5: Solve for x
    x = 2,161,102.75/1,655.11
  6. Step 6: Final answer
    x = 1,305.72

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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.