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Finding the Fourth Proportional to 2,981.04, 4,475.95 and 1,667.37

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Solution

The fourth proportional to 2,981.04, 4,475.95 and 1,667.37 is: 2,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.04 : 4,475.95 = 1,667.37 : x
  2. Step 2: Convert to fraction form
    2,981.04/4,475.95 = 1,667.37/x
  3. Step 3: Cross multiply
    2,981.04x = 4,475.95 × 1,667.37
  4. Step 4: Simplify right side
    2,981.04x = 7,463,036.12
  5. Step 5: Solve for x
    x = 7,463,036.12/2,981.04
  6. Step 6: Final answer
    x = 2,503.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.