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Finding the Fourth Proportional to 1,838.83, 2,533.29 and 1,505.31

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Solution

The fourth proportional to 1,838.83, 2,533.29 and 1,505.31 is: 2,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.83 : 2,533.29 = 1,505.31 : x
  2. Step 2: Convert to fraction form
    1,838.83/2,533.29 = 1,505.31/x
  3. Step 3: Cross multiply
    1,838.83x = 2,533.29 × 1,505.31
  4. Step 4: Simplify right side
    1,838.83x = 3,813,386.77
  5. Step 5: Solve for x
    x = 3,813,386.77/1,838.83
  6. Step 6: Final answer
    x = 2,073.81

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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.