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Finding the Fourth Proportional to 2,160.16, 2,979.18 and 1,740.38

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Solution

The fourth proportional to 2,160.16, 2,979.18 and 1,740.38 is: 2,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.16 : 2,979.18 = 1,740.38 : x
  2. Step 2: Convert to fraction form
    2,160.16/2,979.18 = 1,740.38/x
  3. Step 3: Cross multiply
    2,160.16x = 2,979.18 × 1,740.38
  4. Step 4: Simplify right side
    2,160.16x = 5,184,890.39
  5. Step 5: Solve for x
    x = 5,184,890.39/2,160.16
  6. Step 6: Final answer
    x = 2,400.24

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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.