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Finding the Fourth Proportional to 2,071.10, 3,103.92 and 973.98

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Solution

The fourth proportional to 2,071.10, 3,103.92 and 973.98 is: 1,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.10 : 3,103.92 = 973.98 : x
  2. Step 2: Convert to fraction form
    2,071.10/3,103.92 = 973.98/x
  3. Step 3: Cross multiply
    2,071.10x = 3,103.92 × 973.98
  4. Step 4: Simplify right side
    2,071.10x = 3,023,156.00
  5. Step 5: Solve for x
    x = 3,023,156.00/2,071.10
  6. Step 6: Final answer
    x = 1,459.69

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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.