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Finding the Fourth Proportional to 2,054.57, 2,834.60 and 1,170.15

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Solution

The fourth proportional to 2,054.57, 2,834.60 and 1,170.15 is: 1,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054.57 : 2,834.60 = 1,170.15 : x
  2. Step 2: Convert to fraction form
    2,054.57/2,834.60 = 1,170.15/x
  3. Step 3: Cross multiply
    2,054.57x = 2,834.60 × 1,170.15
  4. Step 4: Simplify right side
    2,054.57x = 3,316,901.34
  5. Step 5: Solve for x
    x = 3,316,901.34/2,054.57
  6. Step 6: Final answer
    x = 1,614.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.