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Finding the Fourth Proportional to 1,914.72, 2,641.12 and 1,267.95

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Solution

The fourth proportional to 1,914.72, 2,641.12 and 1,267.95 is: 1,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.72 : 2,641.12 = 1,267.95 : x
  2. Step 2: Convert to fraction form
    1,914.72/2,641.12 = 1,267.95/x
  3. Step 3: Cross multiply
    1,914.72x = 2,641.12 × 1,267.95
  4. Step 4: Simplify right side
    1,914.72x = 3,348,808.10
  5. Step 5: Solve for x
    x = 3,348,808.10/1,914.72
  6. Step 6: Final answer
    x = 1,748.98

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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.