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Finding the Fourth Proportional to 1,539.18, 2,124.06 and 840.56

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Solution

The fourth proportional to 1,539.18, 2,124.06 and 840.56 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.18 : 2,124.06 = 840.56 : x
  2. Step 2: Convert to fraction form
    1,539.18/2,124.06 = 840.56/x
  3. Step 3: Cross multiply
    1,539.18x = 2,124.06 × 840.56
  4. Step 4: Simplify right side
    1,539.18x = 1,785,399.87
  5. Step 5: Solve for x
    x = 1,785,399.87/1,539.18
  6. Step 6: Final answer
    x = 1,159.97

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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.