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Finding the Fourth Proportional to 2,900.19, 4,002.14 and 1,573.86

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Solution

The fourth proportional to 2,900.19, 4,002.14 and 1,573.86 is: 2,171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.19 : 4,002.14 = 1,573.86 : x
  2. Step 2: Convert to fraction form
    2,900.19/4,002.14 = 1,573.86/x
  3. Step 3: Cross multiply
    2,900.19x = 4,002.14 × 1,573.86
  4. Step 4: Simplify right side
    2,900.19x = 6,298,827.00
  5. Step 5: Solve for x
    x = 6,298,827.00/2,900.19
  6. Step 6: Final answer
    x = 2,171.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.