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Finding the Fourth Proportional to 2,141.89, 2,955.78 and 1,210.39

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Solution

The fourth proportional to 2,141.89, 2,955.78 and 1,210.39 is: 1,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.89 : 2,955.78 = 1,210.39 : x
  2. Step 2: Convert to fraction form
    2,141.89/2,955.78 = 1,210.39/x
  3. Step 3: Cross multiply
    2,141.89x = 2,955.78 × 1,210.39
  4. Step 4: Simplify right side
    2,141.89x = 3,577,646.55
  5. Step 5: Solve for x
    x = 3,577,646.55/2,141.89
  6. Step 6: Final answer
    x = 1,670.32

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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.