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Finding the Fourth Proportional to 1,668.36, 2,303.68 and 1,294.94

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Solution

The fourth proportional to 1,668.36, 2,303.68 and 1,294.94 is: 1,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.36 : 2,303.68 = 1,294.94 : x
  2. Step 2: Convert to fraction form
    1,668.36/2,303.68 = 1,294.94/x
  3. Step 3: Cross multiply
    1,668.36x = 2,303.68 × 1,294.94
  4. Step 4: Simplify right side
    1,668.36x = 2,983,127.38
  5. Step 5: Solve for x
    x = 2,983,127.38/1,668.36
  6. Step 6: Final answer
    x = 1,788.06

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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.