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Finding the Fourth Proportional to 1,592.93, 2,389.89 and 1,011.56

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Solution

The fourth proportional to 1,592.93, 2,389.89 and 1,011.56 is: 1,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.93 : 2,389.89 = 1,011.56 : x
  2. Step 2: Convert to fraction form
    1,592.93/2,389.89 = 1,011.56/x
  3. Step 3: Cross multiply
    1,592.93x = 2,389.89 × 1,011.56
  4. Step 4: Simplify right side
    1,592.93x = 2,417,505.18
  5. Step 5: Solve for x
    x = 2,417,505.18/1,592.93
  6. Step 6: Final answer
    x = 1,517.65

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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.