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Finding the Fourth Proportional to 1,475.82, 2,036.75 and 886.24

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Solution

The fourth proportional to 1,475.82, 2,036.75 and 886.24 is: 1,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.82 : 2,036.75 = 886.24 : x
  2. Step 2: Convert to fraction form
    1,475.82/2,036.75 = 886.24/x
  3. Step 3: Cross multiply
    1,475.82x = 2,036.75 × 886.24
  4. Step 4: Simplify right side
    1,475.82x = 1,805,047.43
  5. Step 5: Solve for x
    x = 1,805,047.43/1,475.82
  6. Step 6: Final answer
    x = 1,223.08

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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.