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Finding the Fourth Proportional to 1,535.63, 2,119.43 and 946.55

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Solution

The fourth proportional to 1,535.63, 2,119.43 and 946.55 is: 1,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.63 : 2,119.43 = 946.55 : x
  2. Step 2: Convert to fraction form
    1,535.63/2,119.43 = 946.55/x
  3. Step 3: Cross multiply
    1,535.63x = 2,119.43 × 946.55
  4. Step 4: Simplify right side
    1,535.63x = 2,006,154.13
  5. Step 5: Solve for x
    x = 2,006,154.13/1,535.63
  6. Step 6: Final answer
    x = 1,306.41

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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.