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Finding the Fourth Proportional to 2,139.82, 3,207.30 and 970.72

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Solution

The fourth proportional to 2,139.82, 3,207.30 and 970.72 is: 1,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.82 : 3,207.30 = 970.72 : x
  2. Step 2: Convert to fraction form
    2,139.82/3,207.30 = 970.72/x
  3. Step 3: Cross multiply
    2,139.82x = 3,207.30 × 970.72
  4. Step 4: Simplify right side
    2,139.82x = 3,113,390.26
  5. Step 5: Solve for x
    x = 3,113,390.26/2,139.82
  6. Step 6: Final answer
    x = 1,454.98

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