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Finding the Fourth Proportional to 2,142.02, 2,955.74 and 1,210.52

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Solution

The fourth proportional to 2,142.02, 2,955.74 and 1,210.52 is: 1,670.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.02 : 2,955.74 = 1,210.52 : x
  2. Step 2: Convert to fraction form
    2,142.02/2,955.74 = 1,210.52/x
  3. Step 3: Cross multiply
    2,142.02x = 2,955.74 × 1,210.52
  4. Step 4: Simplify right side
    2,142.02x = 3,577,982.38
  5. Step 5: Solve for x
    x = 3,577,982.38/2,142.02
  6. Step 6: Final answer
    x = 1,670.38

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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.