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Finding the Fourth Proportional to 1,499.41, 2,069.00 and 836.17

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Solution

The fourth proportional to 1,499.41, 2,069.00 and 836.17 is: 1,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.41 : 2,069.00 = 836.17 : x
  2. Step 2: Convert to fraction form
    1,499.41/2,069.00 = 836.17/x
  3. Step 3: Cross multiply
    1,499.41x = 2,069.00 × 836.17
  4. Step 4: Simplify right side
    1,499.41x = 1,730,029.51
  5. Step 5: Solve for x
    x = 1,730,029.51/1,499.41
  6. Step 6: Final answer
    x = 1,153.81

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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.