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Finding the Fourth Proportional to 1,654.81, 2,295.32 and 1,595.71

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Solution

The fourth proportional to 1,654.81, 2,295.32 and 1,595.71 is: 2,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.81 : 2,295.32 = 1,595.71 : x
  2. Step 2: Convert to fraction form
    1,654.81/2,295.32 = 1,595.71/x
  3. Step 3: Cross multiply
    1,654.81x = 2,295.32 × 1,595.71
  4. Step 4: Simplify right side
    1,654.81x = 3,662,665.08
  5. Step 5: Solve for x
    x = 3,662,665.08/1,654.81
  6. Step 6: Final answer
    x = 2,213.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.