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Finding the Fourth Proportional to 2,294.16, 3,458.19 and 2,160.36

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Solution

The fourth proportional to 2,294.16, 3,458.19 and 2,160.36 is: 3,256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.16 : 3,458.19 = 2,160.36 : x
  2. Step 2: Convert to fraction form
    2,294.16/3,458.19 = 2,160.36/x
  3. Step 3: Cross multiply
    2,294.16x = 3,458.19 × 2,160.36
  4. Step 4: Simplify right side
    2,294.16x = 7,470,935.35
  5. Step 5: Solve for x
    x = 7,470,935.35/2,294.16
  6. Step 6: Final answer
    x = 3,256.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.