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Finding the Fourth Proportional to 1,805.77, 2,491.92 and 1,009.10

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Solution

The fourth proportional to 1,805.77, 2,491.92 and 1,009.10 is: 1,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.77 : 2,491.92 = 1,009.10 : x
  2. Step 2: Convert to fraction form
    1,805.77/2,491.92 = 1,009.10/x
  3. Step 3: Cross multiply
    1,805.77x = 2,491.92 × 1,009.10
  4. Step 4: Simplify right side
    1,805.77x = 2,514,598.53
  5. Step 5: Solve for x
    x = 2,514,598.53/1,805.77
  6. Step 6: Final answer
    x = 1,392.54

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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.