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Finding the Fourth Proportional to 1,475.52, 2,036.21 and 846.05

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Solution

The fourth proportional to 1,475.52, 2,036.21 and 846.05 is: 1,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.52 : 2,036.21 = 846.05 : x
  2. Step 2: Convert to fraction form
    1,475.52/2,036.21 = 846.05/x
  3. Step 3: Cross multiply
    1,475.52x = 2,036.21 × 846.05
  4. Step 4: Simplify right side
    1,475.52x = 1,722,721.06
  5. Step 5: Solve for x
    x = 1,722,721.06/1,475.52
  6. Step 6: Final answer
    x = 1,167.54

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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.