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Finding the Fourth Proportional to 1,358.16, 2,023.64 and 1,212.64

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Solution

The fourth proportional to 1,358.16, 2,023.64 and 1,212.64 is: 1,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.16 : 2,023.64 = 1,212.64 : x
  2. Step 2: Convert to fraction form
    1,358.16/2,023.64 = 1,212.64/x
  3. Step 3: Cross multiply
    1,358.16x = 2,023.64 × 1,212.64
  4. Step 4: Simplify right side
    1,358.16x = 2,453,946.81
  5. Step 5: Solve for x
    x = 2,453,946.81/1,358.16
  6. Step 6: Final answer
    x = 1,806.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.