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Finding the Fourth Proportional to 1,544.82, 2,298.05 and 1,529.16

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Solution

The fourth proportional to 1,544.82, 2,298.05 and 1,529.16 is: 2,274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.82 : 2,298.05 = 1,529.16 : x
  2. Step 2: Convert to fraction form
    1,544.82/2,298.05 = 1,529.16/x
  3. Step 3: Cross multiply
    1,544.82x = 2,298.05 × 1,529.16
  4. Step 4: Simplify right side
    1,544.82x = 3,514,078.49
  5. Step 5: Solve for x
    x = 3,514,078.49/1,544.82
  6. Step 6: Final answer
    x = 2,274.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.