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Finding the Fourth Proportional to 6,587.42, 9,880.39 and 1,657.05

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Solution

The fourth proportional to 6,587.42, 9,880.39 and 1,657.05 is: 2,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.42 : 9,880.39 = 1,657.05 : x
  2. Step 2: Convert to fraction form
    6,587.42/9,880.39 = 1,657.05/x
  3. Step 3: Cross multiply
    6,587.42x = 9,880.39 × 1,657.05
  4. Step 4: Simplify right side
    6,587.42x = 16,372,342.48
  5. Step 5: Solve for x
    x = 16,372,342.48/6,587.42
  6. Step 6: Final answer
    x = 2,485.40

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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.