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Finding the Fourth Proportional to 2,127.06, 2,933.28 and 1,497.42

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Solution

The fourth proportional to 2,127.06, 2,933.28 and 1,497.42 is: 2,064.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.06 : 2,933.28 = 1,497.42 : x
  2. Step 2: Convert to fraction form
    2,127.06/2,933.28 = 1,497.42/x
  3. Step 3: Cross multiply
    2,127.06x = 2,933.28 × 1,497.42
  4. Step 4: Simplify right side
    2,127.06x = 4,392,352.14
  5. Step 5: Solve for x
    x = 4,392,352.14/2,127.06
  6. Step 6: Final answer
    x = 2,064.99

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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.