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Finding the Fourth Proportional to 2,099.32, 2,898.14 and 1,539.16

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Solution

The fourth proportional to 2,099.32, 2,898.14 and 1,539.16 is: 2,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.32 : 2,898.14 = 1,539.16 : x
  2. Step 2: Convert to fraction form
    2,099.32/2,898.14 = 1,539.16/x
  3. Step 3: Cross multiply
    2,099.32x = 2,898.14 × 1,539.16
  4. Step 4: Simplify right side
    2,099.32x = 4,460,701.16
  5. Step 5: Solve for x
    x = 4,460,701.16/2,099.32
  6. Step 6: Final answer
    x = 2,124.83

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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.