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Finding the Fourth Proportional to 1,944.81, 2,683.53 and 1,159.11

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Solution

The fourth proportional to 1,944.81, 2,683.53 and 1,159.11 is: 1,599.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.81 : 2,683.53 = 1,159.11 : x
  2. Step 2: Convert to fraction form
    1,944.81/2,683.53 = 1,159.11/x
  3. Step 3: Cross multiply
    1,944.81x = 2,683.53 × 1,159.11
  4. Step 4: Simplify right side
    1,944.81x = 3,110,506.46
  5. Step 5: Solve for x
    x = 3,110,506.46/1,944.81
  6. Step 6: Final answer
    x = 1,599.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.