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Finding the Fourth Proportional to 1,670.90, 2,503.91 and 746.28

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Solution

The fourth proportional to 1,670.90, 2,503.91 and 746.28 is: 1,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.90 : 2,503.91 = 746.28 : x
  2. Step 2: Convert to fraction form
    1,670.90/2,503.91 = 746.28/x
  3. Step 3: Cross multiply
    1,670.90x = 2,503.91 × 746.28
  4. Step 4: Simplify right side
    1,670.90x = 1,868,619.82
  5. Step 5: Solve for x
    x = 1,868,619.82/1,670.90
  6. Step 6: Final answer
    x = 1,118.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.