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Finding the Fourth Proportional to 2,937, 4,406.61 and 1,898.98

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Solution

The fourth proportional to 2,937, 4,406.61 and 1,898.98 is: 2,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937 : 4,406.61 = 1,898.98 : x
  2. Step 2: Convert to fraction form
    2,937/4,406.61 = 1,898.98/x
  3. Step 3: Cross multiply
    2,937x = 4,406.61 × 1,898.98
  4. Step 4: Simplify right side
    2,937x = 8,368,064.26
  5. Step 5: Solve for x
    x = 8,368,064.26/2,937
  6. Step 6: Final answer
    x = 2,849.19

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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.