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Finding the Fourth Proportional to 1,668.90, 2,302.19 and 1,354.52

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Solution

The fourth proportional to 1,668.90, 2,302.19 and 1,354.52 is: 1,868.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.90 : 2,302.19 = 1,354.52 : x
  2. Step 2: Convert to fraction form
    1,668.90/2,302.19 = 1,354.52/x
  3. Step 3: Cross multiply
    1,668.90x = 2,302.19 × 1,354.52
  4. Step 4: Simplify right side
    1,668.90x = 3,118,362.40
  5. Step 5: Solve for x
    x = 3,118,362.40/1,668.90
  6. Step 6: Final answer
    x = 1,868.51

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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.