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Finding the Fourth Proportional to 2,070.99, 3,101.36 and 1,288.53

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Solution

The fourth proportional to 2,070.99, 3,101.36 and 1,288.53 is: 1,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.99 : 3,101.36 = 1,288.53 : x
  2. Step 2: Convert to fraction form
    2,070.99/3,101.36 = 1,288.53/x
  3. Step 3: Cross multiply
    2,070.99x = 3,101.36 × 1,288.53
  4. Step 4: Simplify right side
    2,070.99x = 3,996,188.96
  5. Step 5: Solve for x
    x = 3,996,188.96/2,070.99
  6. Step 6: Final answer
    x = 1,929.60

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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.