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Finding the Fourth Proportional to 1,536.01, 2,119.87 and 946.55

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Solution

The fourth proportional to 1,536.01, 2,119.87 and 946.55 is: 1,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.01 : 2,119.87 = 946.55 : x
  2. Step 2: Convert to fraction form
    1,536.01/2,119.87 = 946.55/x
  3. Step 3: Cross multiply
    1,536.01x = 2,119.87 × 946.55
  4. Step 4: Simplify right side
    1,536.01x = 2,006,569.43
  5. Step 5: Solve for x
    x = 2,006,569.43/1,536.01
  6. Step 6: Final answer
    x = 1,306.35

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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.