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Finding the Fourth Proportional to 2,981.52, 4,114.14 and 1,655.07

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Solution

The fourth proportional to 2,981.52, 4,114.14 and 1,655.07 is: 2,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.52 : 4,114.14 = 1,655.07 : x
  2. Step 2: Convert to fraction form
    2,981.52/4,114.14 = 1,655.07/x
  3. Step 3: Cross multiply
    2,981.52x = 4,114.14 × 1,655.07
  4. Step 4: Simplify right side
    2,981.52x = 6,809,189.69
  5. Step 5: Solve for x
    x = 6,809,189.69/2,981.52
  6. Step 6: Final answer
    x = 2,283.80

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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.