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Finding the Fourth Proportional to 1,533.63, 2,115.52 and 1,001.82

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Solution

The fourth proportional to 1,533.63, 2,115.52 and 1,001.82 is: 1,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.63 : 2,115.52 = 1,001.82 : x
  2. Step 2: Convert to fraction form
    1,533.63/2,115.52 = 1,001.82/x
  3. Step 3: Cross multiply
    1,533.63x = 2,115.52 × 1,001.82
  4. Step 4: Simplify right side
    1,533.63x = 2,119,363.78
  5. Step 5: Solve for x
    x = 2,119,363.78/1,533.63
  6. Step 6: Final answer
    x = 1,381.92

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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.