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Finding the Fourth Proportional to 1,560.94, 2,345.06 and 1,342.24

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Solution

The fourth proportional to 1,560.94, 2,345.06 and 1,342.24 is: 2,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.94 : 2,345.06 = 1,342.24 : x
  2. Step 2: Convert to fraction form
    1,560.94/2,345.06 = 1,342.24/x
  3. Step 3: Cross multiply
    1,560.94x = 2,345.06 × 1,342.24
  4. Step 4: Simplify right side
    1,560.94x = 3,147,633.33
  5. Step 5: Solve for x
    x = 3,147,633.33/1,560.94
  6. Step 6: Final answer
    x = 2,016.50

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Why These Related Problems?

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