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Finding the Fourth Proportional to 1,292.56, 1,929.44 and 1,111.12

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Solution

The fourth proportional to 1,292.56, 1,929.44 and 1,111.12 is: 1,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.56 : 1,929.44 = 1,111.12 : x
  2. Step 2: Convert to fraction form
    1,292.56/1,929.44 = 1,111.12/x
  3. Step 3: Cross multiply
    1,292.56x = 1,929.44 × 1,111.12
  4. Step 4: Simplify right side
    1,292.56x = 2,143,839.37
  5. Step 5: Solve for x
    x = 2,143,839.37/1,292.56
  6. Step 6: Final answer
    x = 1,658.60

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