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Finding the Fourth Proportional to 1,294.48, 1,927.72 and 1,211.44

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Solution

The fourth proportional to 1,294.48, 1,927.72 and 1,211.44 is: 1,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.48 : 1,927.72 = 1,211.44 : x
  2. Step 2: Convert to fraction form
    1,294.48/1,927.72 = 1,211.44/x
  3. Step 3: Cross multiply
    1,294.48x = 1,927.72 × 1,211.44
  4. Step 4: Simplify right side
    1,294.48x = 2,335,317.12
  5. Step 5: Solve for x
    x = 2,335,317.12/1,294.48
  6. Step 6: Final answer
    x = 1,804.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.