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Finding the Fourth Proportional to 1,533.29, 2,102.11 and 1,505.60

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Solution

The fourth proportional to 1,533.29, 2,102.11 and 1,505.60 is: 2,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.29 : 2,102.11 = 1,505.60 : x
  2. Step 2: Convert to fraction form
    1,533.29/2,102.11 = 1,505.60/x
  3. Step 3: Cross multiply
    1,533.29x = 2,102.11 × 1,505.60
  4. Step 4: Simplify right side
    1,533.29x = 3,164,938.31
  5. Step 5: Solve for x
    x = 3,164,938.31/1,533.29
  6. Step 6: Final answer
    x = 2,064.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.