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Finding the Fourth Proportional to 1,539.21, 2,124.14 and 840.59

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Solution

The fourth proportional to 1,539.21, 2,124.14 and 840.59 is: 1,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.21 : 2,124.14 = 840.59 : x
  2. Step 2: Convert to fraction form
    1,539.21/2,124.14 = 840.59/x
  3. Step 3: Cross multiply
    1,539.21x = 2,124.14 × 840.59
  4. Step 4: Simplify right side
    1,539.21x = 1,785,516.02
  5. Step 5: Solve for x
    x = 1,785,516.02/1,539.21
  6. Step 6: Final answer
    x = 1,160.02

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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.