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Finding the Fourth Proportional to 1,415.95, 2,121.16 and 927.52

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Solution

The fourth proportional to 1,415.95, 2,121.16 and 927.52 is: 1,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.95 : 2,121.16 = 927.52 : x
  2. Step 2: Convert to fraction form
    1,415.95/2,121.16 = 927.52/x
  3. Step 3: Cross multiply
    1,415.95x = 2,121.16 × 927.52
  4. Step 4: Simplify right side
    1,415.95x = 1,967,418.32
  5. Step 5: Solve for x
    x = 1,967,418.32/1,415.95
  6. Step 6: Final answer
    x = 1,389.47

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