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Finding the Fourth Proportional to 1,668.83, 2,303.26 and 1,005.78

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Solution

The fourth proportional to 1,668.83, 2,303.26 and 1,005.78 is: 1,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.83 : 2,303.26 = 1,005.78 : x
  2. Step 2: Convert to fraction form
    1,668.83/2,303.26 = 1,005.78/x
  3. Step 3: Cross multiply
    1,668.83x = 2,303.26 × 1,005.78
  4. Step 4: Simplify right side
    1,668.83x = 2,316,570.33
  5. Step 5: Solve for x
    x = 2,316,570.33/1,668.83
  6. Step 6: Final answer
    x = 1,388.14

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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.