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Finding the Fourth Proportional to 1,822.16, 2,514.72 and 1,036.16

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Solution

The fourth proportional to 1,822.16, 2,514.72 and 1,036.16 is: 1,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.16 : 2,514.72 = 1,036.16 : x
  2. Step 2: Convert to fraction form
    1,822.16/2,514.72 = 1,036.16/x
  3. Step 3: Cross multiply
    1,822.16x = 2,514.72 × 1,036.16
  4. Step 4: Simplify right side
    1,822.16x = 2,605,652.28
  5. Step 5: Solve for x
    x = 2,605,652.28/1,822.16
  6. Step 6: Final answer
    x = 1,429.98

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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.