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Finding the Fourth Proportional to 2,154.62, 2,973.73 and 1,210.81

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Solution

The fourth proportional to 2,154.62, 2,973.73 and 1,210.81 is: 1,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.62 : 2,973.73 = 1,210.81 : x
  2. Step 2: Convert to fraction form
    2,154.62/2,973.73 = 1,210.81/x
  3. Step 3: Cross multiply
    2,154.62x = 2,973.73 × 1,210.81
  4. Step 4: Simplify right side
    2,154.62x = 3,600,622.02
  5. Step 5: Solve for x
    x = 3,600,622.02/2,154.62
  6. Step 6: Final answer
    x = 1,671.12

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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.