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Finding the Fourth Proportional to 2,069.99, 2,858.90 and 1,405.68

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Solution

The fourth proportional to 2,069.99, 2,858.90 and 1,405.68 is: 1,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.99 : 2,858.90 = 1,405.68 : x
  2. Step 2: Convert to fraction form
    2,069.99/2,858.90 = 1,405.68/x
  3. Step 3: Cross multiply
    2,069.99x = 2,858.90 × 1,405.68
  4. Step 4: Simplify right side
    2,069.99x = 4,018,691.52
  5. Step 5: Solve for x
    x = 4,018,691.52/2,069.99
  6. Step 6: Final answer
    x = 1,941.41

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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.