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Finding the Fourth Proportional to 2,151.48, 2,969.10 and 1,267.34

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Solution

The fourth proportional to 2,151.48, 2,969.10 and 1,267.34 is: 1,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.48 : 2,969.10 = 1,267.34 : x
  2. Step 2: Convert to fraction form
    2,151.48/2,969.10 = 1,267.34/x
  3. Step 3: Cross multiply
    2,151.48x = 2,969.10 × 1,267.34
  4. Step 4: Simplify right side
    2,151.48x = 3,762,844.35
  5. Step 5: Solve for x
    x = 3,762,844.35/2,151.48
  6. Step 6: Final answer
    x = 1,748.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.